Question

Solve using the elimination method
6x - 10y = -18
-3x + 2y = 3

Answer 1

@BunnyBree

Answer 2

The first thing we need to do is eliminate one of the variables.
I'm going to eliminate x this time. So I have to multiply the bottom equation by 2.
6x - 10y = -18
(-3x + 2y = 3) x 2
We get:
6x - 10y = -18
-6x + 4y = 6
Add the two equations together.
-6y = -12
Divide each side by -6.
y = 2 <--- One of the solutions.
Now plug y into one of the original equations to obtain x.

Answer 3

I'm going to use the first equation.
6x - 10y = -18
6x - 10(2) = -18
6x - 20 = -18
Add 20 to both sides.
6x = 2
Divide each side by 6.
x = 1/3
The solutions are: x = 1/3, and y = 2.