Question

What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x Enter your answer in the box.

Answer 1

The given system of equations is :

x−y=−11 ...(1)

y+7=−2x ...(2)

First step is to solve equation (1) for x so that we can substitute that x in equation (2) to get the value of y. So, add y to each sides of equation (1). Hence,

x = y - 11.

Next step is to plug in y - 11 for x in equation (2). So,

y + 7 = -2(y - 11)

y + 7 = -2y + 22 By distribution property.

y + 7 - 7 = -2y + 22 - 7 Subtract 22 from each sides.

y = -2y + 15

y + 2y = -2y + 15 + 2y Add 2y to each sides of the equation.

3y = 15

`(3y)/(3) =(15)/(3)` Divide each sides by 3.

So, y = 5.