Question

What is the y-coordinate of the point of intersection for the two lines given below?

A: 4
B: -14
C: -3
D: -2

Answer 1

B. -14

Explanation:

If you solve the system using the method of elimination, the y terms will automatically cancel each other out without any manipulation at all. So go with it and solve for x first. If the y terms cancel out, you're left with x = -3.

If x = -3, sub that value in for x in eitheer one of the original equations and solve for y:

`3x-y=5` becomes

`3(-3)-y=5` and

`-9-y=5` so

`y=-14`