Question

3x + 6y = -18 2y = 3x - 22 complete the second equation below so that the terms in the system align. 3x + 6y = -18 3x + 2y = -22 Which equation results when you add the equations? 8y = -40 Solve: this solution to the system is (___,___).?

Answer 1

We have the functions:

`3x+6y=-18`

And:

`2y=3x-22\Rightarrow22=3x-2y`

Knwoing this, we proceed as follows:

When we sustract the second function, from the first, we will have:

`3x-3x-2y-6y=22+18\Rightarrow-8y=40`
`\Rightarrow8y=-40\Rightarrow y=-5`

If we replace in the first function we will get x = 4.

Where did you get the -3 and -36 from?