Y = -x + 5
y = 2x - 7

Final answer:

To solve the given pair of linear equations y = -x + 5 and y = 2x - 7, you can use the elimination method. Multiply the second equation by -1, add the equations together to eliminate y, solve for x, and substitute the value of x back into either equation to find y. The solution is x = 4 and y = 1.

Explanation:

To solve the given pair of linear equations:

y = -x + 5

y = 2x - 7

You can use the method of substitution or elimination. Let's use the elimination method:

Step 1: Multiply the second equation by -1 to make the coefficient of y in both equations the same:

y = -x + 5

-y = -2x + 7

Step 2: Add the equations together to eliminate y:

0 = -3x + 12

Step 3: Solve for x:

3x = 12

x = 4

Step 4: Substitute the value of x back into either equation to find y:

y = -4 + 5

y = 1

So, the solution to the given pair of linear equations is x = 4 and y = 1.

Learn more about Solving linear equations here:

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The complete question is given below:

Solve the given pair of linear equation in two variable.

y = -x + 5

y = 2x - 7

Answer: x=4, y=1

Step-by-step explanation:

Because y=y, you can make an equation that is -x+5=2x-7. Then add the x to the right side, so it would be 5=3x-7. Then add the 7 to the left side to get all of the numbers in one place. So it would be 12=3x. Divide by 3 on both sides and you get x=4. Then plug x into either one of the original equations. Both equations should get you the same answer for y. Y=-4+5. Y=1. And the other equation. Y=2x-7, y=8-7. Y=1