Question

What is the solution of the system of equations?

9x+6y=0
4x+4y=-2

Solve by elimination.

Answer 1

x=1 y=-3/2

Answer 2

I need to know how to do it, not just the answer. How'd you get that?

Answer 3

9x+6y=0
4x+4y=-2

18x+12y=0
12x+12y=-6

6x=6
x=1

4+4y=-2
4y=-6
y=-3/2

Answer 4

I multiplied the top equation by -2 and the bottom equation by 3. So then I got
-18x-12y=0
12x+12y=-6

So, the y's cancel and you get:
-6x=-6
so, x=1

Then, you plug in x into one of the original equations to find y. I plugged it into the 2nd equation since it has smaller numbers.

4(1)+4y=-2 ----> 4+4y=-2. Subtract the 4 on both sides. ----> 4y=-6
Divide 4 on both sides and you get y=-6/4 which reduces to -3/2

So the solution is (1, -3/2)