--7x-7y= 28
2x - 7y = 1

please solve this systems of eqautions

Answers

Answer 1

After solving the equation the linear equation is x = 27/5 , y = 7/5.

What do you mean by linear equation?

Equations with the highest degree of 1 are called linear equations. This means that the exponent of the variable in the linear equation is greater than 1. The graph of a linear equation is always a straight line.

A linear equation is an algebraic equation in which each term has exponent 1, and the graph of this equation is always a straight line. For this reason, it is called a "linear equation".

Given system of equation:

7x - 7y = 28 ..........(1)

2x - 7y = 1 .............(2)

Solve this system of linear equation. Find the value of 7y from equation (1) and substitute in equation(2)

7x - 7y = 28

7x - 28 =7y .............(3)

Substitute this value in equation (2)

2x - (7x - 28) = 1

2x - 7x + 28 = 1

-5x + 28 = 1

5x = 28 - 1

5x = 27

x = 27/5

Substitute this value in equation (3)

7y = 7(27/5) - 28

7y = 189/5 - 28

7y = 49/5

y = 7/5

Therefore, x = 27/5 , y = 7/5

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Related Questions

What’s 5.2 times by 7.7

Answers

Answer:

The answer is 40.04

Step-by-step explanation:

5.2 x 7.7 = 40.04

Drag each label to the correct location on the image. Each label will be used once.
Which rights did the states have and which rights did the federal golprnment have under the Articles of Confederation?
Run post office
Declare war
All other powers not specified
in document
Negotiate with foreign powers Collect taxes
Control militia
State | Federal Government

Answers

Where the above humanities terms are give, the matches for the labels you provided are given below.

The match between terms.

Run post office -   Federal GovernmentDeclare war -   Federal GovernmentAll other powers not specified in the document -   StatesNegotiate with foreign powers -   Federal GovernmentCollect taxes -   StatesControl militia -   States

With regard to the above terms, note that under the Articles of Confederation, the federal government had the power to run the post office, declare war, and negotiate with foreign powers.

The states had the power to exercise all other powers not specifically mentioned in the document, collect taxes, and control the militia.

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Tri-County G\$T selis 150,000 MWh per yeat of electrical power to Boulder at $80 per MWh, has fixed costs of $80.1 milion per yoar, and has varistele costs of $20 por MWh. If Tri-County has 1,000,000MW h of demand from its customers (other than Boulder), what will Tri-County have to charge to break even? Tri-County wit have to charge? to break oven. (Enter your response rounded to the nearest penny.)

Answers

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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Can you please solve Y=15x?
I’m not quite understanding...

Answers

can you put more context?


A train travels a total of 38 km at a constant speed of 90 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second. Pls Help Maybe I will give you brainiest

Answers

Answer:

25 minutes and 33 seconds

Step-by-step explanation:

please brainiest


A pool is built in the shape of an ellipse, centered at the origin. The maximum vertical length is 30 feet, and the maximum horizontal width is 14 feet. Which of the
following equations represents the pool?

A pool is built in the shape of an ellipse, centered at the origin. The maximum vertical length is 30

Answers

The equation of the ellipse is \(\frac{x^{2}}{49} + \frac{y^{2}}{225} = 1\).

In this question we should read carefully the statement, find all relevant information and derive the resulting ellipse formula. Geometrically, the standard formula of the ellipse is:

\(\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1\) (1)

Where:

\(x\) - Horizontal distance, in feet.\(y\) - Vertical distance, in feet.\(a\) - Horizontal semiaxis length, in feet.\(b\) - Vertical semiaxis length, in feet.

If we know that \(a = 7\) and \(b = 15\), hence the equation of the ellipse is:

\(\frac{x^{2}}{49} + \frac{y^{2}}{225} = 1\)

The equation of the ellipse is \(\frac{x^{2}}{49} + \frac{y^{2}}{225} = 1\).

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why is the term ""arc"" used to describe units of measure for angular distance

Answers

The term "arc" is used to describe units of measure for angular distance because it refers to the length of an arc on a circle.

Angular distance is the measure of the separation between two points on a circle or an arc. The term "arc" is used to describe this measure because it refers to the length of the arc connecting the two points on the circle.

This length is a fraction of the circumference of the circle and is proportional to the angle between the two points. The use of the term "arc" in this context is a nod to the geometric origins of angular measurement, which is based on the properties of circles and their angles.

The most common units of angular measurement are degrees, minutes, and seconds, which are all based on the division of a circle into 360 equal parts (degrees) and further subdivisions (minutes and seconds).

Other units of angular measurement, such as radians and gradians, are also based on the properties of circles and their angles.

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write the largest open interval on which f is the antiderivative for f.

Answers

The largest open interval on which f is the antiderivative for f is called the indefinite integral of f, and it is denoted by ∫f(x)dx. This interval can be determined by finding all the antiderivatives of f and then taking the union of their domains. Note that the antiderivative of f is not unique, as it can differ by a constant, so the indefinite integral of f is only determined up to an arbitrary constant.
To find the largest open interval on which a function f is the antiderivative for f', we'll first need to know the function f' (the derivative of f). However, you didn't provide the function f' in your question.

To give you a general idea of how to approach this problem, follow these steps:

1. Given the function f'(x), find the critical points by setting f'(x) equal to 0 and solving for x.
2. Determine the intervals based on the critical points.
3. Check the behavior of f'(x) in each interval to see where it's continuous and increasing.
4. The largest open interval on which f is the antiderivative for f' will be the interval in which f'(x) is continuous and increasing.

If you provide the function f'(x), I can help you find the largest open interval for the antiderivative.

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Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.

Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Answers

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than

Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.

What is Solution to Equation?

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.

We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.

We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.

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6 ten thousands 2 thousands 7 hundreds 8 tens 9 ones

Answers

Answer:

62789

Step-by-step explanation:

How can you apply it triangle congruence to real life situation?

Answers

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Tell whether the two quantities vary directly. Explain your reasoning.
the number of correct answers on a test and the score on the test
Choose the correct answer below.
OA. No, they do not vary directly. When one quantity increases, the other quantity does not increase.
OB. No, they do not vary directly. When one quantity increases, the other quantity also increases.
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
OD. Yes, they vary directly. When one quantity increases, the other quantity does not increase.

Answers

The correct statement regarding the variation of the two measures is given as follows:

C. Yes, they vary directly. When one quantity increases, the other quantity also increases.

What are positive and negative association?

Two variables have a positive association when the values of one variable increase as the values of the other variable increase, that is, the quantities vary directly.Two variables have a negative association when the values of one variable decrease as the values of the other variable increase, that is, the quantities vary inversely.

For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.

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HELP!!! NEED ANSWER ASAP!

HELP!!! NEED ANSWER ASAP!

Answers

Answer:

Yeah he's right...

Step-by-step explanation:

PLSSS DO IT NOW QUICK STEP BY STEP EXPLANATION>….!!!

-Jake .Kim ,and lee share some money in the ratio 1:3:6

Kim gets $9 more than Jake


How much does Lee get?

Answers

Answer:

$30

Step-by-step explanation:

What is a ratio?

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

If the ratio is Jake: Kim: Lee, and the amounts are 1: 3: 6, we can use this ratio to solve for the amount of money Lee will get if Kim gets $9 more than Jake:

5: 15: 30How did we get this ratio?

Well, in order to get this ratio, we need to multiply each number in the original ratio by 5.

1 × 5 = 53 × 5 = 156 × 5 = 30

Therefore, Kim will get $15, which is $9 more than Jake's amount, which is $5. Lee has $30.

select the correct answer​

select the correct answer

Answers

Answer:

-4x^2+5x-28

Step-by-step explanation:

3x^2 +5x - 7(x^2 +4)

Distribute the -7

3x^2+5x-7x^2-28

Combine like terms

-4x^2+5x-28

GeometryQuestion 5•For what values of the variables must ABCD be a parallelogram?

GeometryQuestion 5For what values of the variables must ABCD be a parallelogram?

Answers

SOLUTION:

For parallelograms; opposite sides are congruent;

Thus;

\(\begin{gathered} 2y-12=y-2 \\ solving\text{ for y} \\ 2y-y=12-2 \\ y=10 \end{gathered}\)

The shorter opposite sides must be equal too, thus;

\(\begin{gathered} 2x+1=y+3 \\ substitute\text{ in y = 10} \\ 2x+1=10+3 \\ 2x+1=13 \\ 2x=12 \\ x=6 \end{gathered}\)

Thus, for the figure to be a parallelogram, x = 6 and y = 10

Mark invested $5,000 in a local bank at a rate of 2.5%

for 6 years. How much interest will he earn after six

years?

A. $7,500

B. $125

C. $750

D. $5,750

Answers

Answer:

A} 7,500

Step-by-step explanation:

A=$7,500 that’s answer

Scrambled: Use all four of number
set to create the first number You
must use each number once, and you
can use any combination of the four
basic operations (1. - X. =).
7: 1,3,7,2

Answers

(3-2) = 1
7 * 1 * 1 = 7

Simplify each expression 2m+6(2/3-m);m=4

Answers

Answer:

3 (m-2)-5=8-2 (m-4)

Step-by-step explanation:

please mark me as brainliest.

Answer:

-12

Step-by-step explanation:

What is the area of the figure shown below?
39 ft
50 ft
41 ft
60 ft

What is the area of the figure shown below?39 ft50 ft 41 ft60 ft

Answers

39ft
draw a line where the 1 is and dove

How would I go about solving this?

How would I go about solving this?

Answers

The required answer of given fractional problem is  \(\frac{12\sqrt{8a}-24a\sqrt{6} }{128a^{2} }\)

What is rationalizatoin?

Rationalization is the mathematical operation, in which denominator get multiply with the numerator and denominator.

According to the given data:

⇒  \(\frac{3-3\sqrt{3a} }{4\sqrt{8a} }\)

⇒  \(\frac{3-3\sqrt{3a} }{4\sqrt{8a} }\) × \(\frac{4\sqrt{8a} }{4\sqrt{8a} }\)

⇒  \(\frac{12\sqrt{8a}-24a\sqrt{6} }{128a^{2} }\)

In maths, under root is not allow in denominator, so calculated answer best.

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in a random sample of canadians, it was learned that three eighths of them preferred carrot muffins while one quarter preferred bran muffins. if the population of canada at the time of the sample was 33.7 million, what is the expected number of people who prefer either carrot or bran muffins?

Answers

The expected number of people who prefer either carrot or bran muffins is given as follows:

21.1 million.

How to obtain the expected number of people?

The expected number of people who prefer either carrot or bran muffins is obtained applying the proportions in the context of the problem.

The population is given as follows:

33.7 million.

The fraction with the desired features is given as follows:

3/8 + 1/4 = 3/8 + 2/8 = 5/8.

Hence the expected number of people who prefer either carrot or bran muffins is given as follows:

5/8 x 33.7 = 21.1 million.

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A violin student records the number of hours she spends practicing during each of nine consecutive weeks. What is the median number of hours spent practicing per week during this period

Answers

The median number of hours spent practicing per week during the nine consecutive weeks is the middle value when the hours are arranged in ascending order.

To find the median, we first need to arrange the recorded number of hours spent practicing per week in ascending order. Let's assume the recorded hours are as follows: 2, 3, 4, 5, 5, 6, 7, 8, 9.

There are a total of nine recorded hours. Since the number of hours is odd, the median will be the middle value. In this case, the middle value is the fifth number, which is 5. Therefore, the median number of hours spent practicing per week during the nine consecutive weeks is 5.

The median is a measure of central tendency that represents the middle value in a set of data. It is a useful measure for finding a typical value in a distribution. In this case, the median gives us an idea of the "typical" number of hours spent practicing per week during the nine-week period.

By arranging the hours in ascending order, we can easily identify the middle value as the median. In situations where there is an even number of data points, the median would be the average of the two middle values.

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Make journal entry of-
Wages paid to Gopal Rs.1,500​

Answers

Answer:

Salary A/c. Dr.

To Cash A/c.

(Being salary paid to Gopal)

Step-by-step explanation:

5) Explain in your own words what is meant by the son of a mention Include a practical example of a differential equation used to model wito your specific engineering course நmata) b) Solve the following first order differential equation using the integrating factor method. dy cos(t) + sin(t) y = 3cos (t) sin(t) - 2 dx [10 marks) c) Explain the following MATLAB code shown and sketch the output plot from program 19 marks) 01 t=0 02 while t<10 03 if (t<5) 04 y=3*(1-exp(-)): 05 else if (t>=5) 06 y=3*exp(-t+5); 07 end 08 end 09 t = t + 0.05 10 pause (0.002) + Figure Q4 Q4 Total

Answers

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

The term "son of a mention" is not familiar in mathematics. The correct term might be "son of a gun" or "son of a function."A differential equation used to model your specific engineering course is called an engineering differential equation. Such equations are used to predict, control, and monitor various physical processes, ranging from the dynamics of mechanical systems to the motion of fluids and gases, and electrical and electronic circuits. It's essential to know the form of the differential equations, the initial and boundary conditions, and the physical meaning of the parameters to use them effectively in modeling physical systems.

The following MATLAB code represents a simple for loop with a nested if-else statement and a plotting command. The code generates a signal with two segments: a rising ramp from zero to three and a falling ramp from three to zero. The signal has a total duration of 10 seconds, a sampling interval of 0.05 seconds, and a plotting delay of 0.002 seconds.

01 t=0 02 while t<10 03

if

(t<5) 04 y=3*(1-exp(-t)); 05 else if

(t>=5) 06 y=3*exp(-t+5); 07 ends 08 end 09

t = t + 0.05 10 pauses (0.002)

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

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hihi! can you help me please? Giving brainleist to the best/correct awnser :))

Solve for x
9(3−2x)=2(10−8x)

Answers

Answer:

x= 2/7

Step-by-step explanation:

i think that's the answer jdmsmzmsms

Answer:

Step-by-step explanation:

x=7/2

Isa makes a goal to drink 56 cups of water this week. She drinks 9 cups of water on each of the first 4 days of the week

Answers

Answer:

I dont know what the question is but she drank 36 cups of water already so she needs to drink 20 more

Answer:20

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

9/16......................................

For decimal form it would be 0.5625 but for fraction it would be 9/16.

Find the inverse of the following matrix:
121
302
182

The inverse of this matrix is not defined

0131
208
122

Answers

The inverse of the given matrix is not defined.

To find the inverse of a matrix, we need to check if the matrix is invertible or non-singular. For a square matrix to be invertible, its determinant must be non-zero.

Let's calculate the determinant of the given matrix:

Det(Matrix) = (1 * 0 * 2) + (2 * 2 * 1) + (1 * 3 * 8) - (2 * 0 * 1) - (1 * 2 * 8) - (1 * 3 * 0)

= 0 + 4 + 24 - 0 - 16 - 0

= 12

Since the determinant of the given matrix is non-zero (12 ≠ 0), it implies that the matrix is invertible.

Next, we can proceed to find the inverse of the matrix by using the formula:

Matrix^(-1) = (1/Det(Matrix)) * Adjoint(Matrix)

However, before calculating the adjoint of the matrix, let's check for any possible errors in the matrix elements. The elements of the matrix you provided are not consistent, and it seems there might be a mistake. The matrix you provided (121, 302, 182) does not conform to the standard 3x3 matrix format.

In conclusion, based on the given matrix, the inverse is not defined. Please make sure to provide a properly formatted 3x3 matrix to find its inverse.

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Could someone please help me this is due at 3 pm and it's allready 2:18 and i only need these questions and i am done please help me. if you answer all you get 20 points! PLEASE HELP

Could someone please help me this is due at 3 pm and it's allready 2:18 and i only need these questions
Could someone please help me this is due at 3 pm and it's allready 2:18 and i only need these questions
Could someone please help me this is due at 3 pm and it's allready 2:18 and i only need these questions

Answers

These are the solutions of all the questions

Could someone please help me this is due at 3 pm and it's allready 2:18 and i only need these questions
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