Answer:
See below
Step-by-step explanation:
This is a system of equations. That means you are trying to find the point that makes both lines true at the same time.
To do this you have to solve for one variable at a time. Luckily, these equations already have one variable that will cancel. If you add 2x and -2x, you get 0. I'm going to line these up like a vertical math problem to show you how it works.
-2x + 3y = 12
2x +3y = 0 Add together
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0x + 6y = 12 Simplify by removing the 0x
6y =12 Divide both sides by 6 to solve for y
y = 2
Plug 2 in for y in one of the original equations.
2x + 3(2) = 0
2x + 6 = 0 Subtract 6 from both sides
2x = -6 Divide by 2 to solve for x
x = -3
The point that makes both lines true is (-3,2). This is where the lines intersect.
