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

Answer:

B. -14

Step-by-step 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

$y=-14$