Question

What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x

Answer 1

`y= 5`

Explanation:

Given the system of equations:

`x-y=-11`

`y+7=-2x`

In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.

`x=y=-11`

`y+7=-2x`

`y+7=-2x`

`+ -7`

`y = -2x - 7`

`x - y = -11`

`y = -2x-7`

`x-(-2x-7)=-11`

`x--2x=x+2x=3x`

`3x+7=-11`

`-7`

`-11+-7=-18`

`3x=-18`

`/3`

`-18/3=-6`

`x=-6`

`y=-2x-7`

`y=(-2)(-6)-7`

`-2*-6=12-7=5`

`y=5`

Hope this helps.