Question

Solve the system by subsitution

6x+3y=-6
2x+y=-2

Answer 1

This is a fun one. You sub in the values like so:

6x + 3y = -6

Isolate y

3y = -6 - 6x

Divide it all by 3

y = -2 - 2x

Answer 2

So now you have your y value. Let's plug it into the first equation.

Answer 3

6x + 3(-2 -2x) = -6

Answer 4

6x -6 - 6x = -6
(little satanic. derp)

Combine like terms:
-6 = -6

Answer 5

You can test it again with the lower equation:

2x+y=-2
2x + (-2 - 2x) = -2
2x - 2 - 2x = -2
-2 = -2

Answer 6

I don't see that answer on there..
It's either, x=0, y=-2
infinite solutions
x=-1, y=0
no solution

Answer 7

So it's no solution?

Answer 8

I think it's infinite solutions.

Answer 9

No unique solution. The first equation is 3 times the second.

Answer 10

I forget what it means, either none, or infinite.

Answer 11

Okay, thank you!

Answer 12

No problem.