Question

2x-y=-6
3x-4y=-4
Solve using elimination and then substitution

Answer 1

Okay, so first you are going to decide whether to solve for x or solve for y. I am going to solve for x. In order to do so, you must get x by itself.

`2x-y=-6`

`image`

`3x=4y-4 \\ x= (4y-4)/(3)`
The next step is to set both equations equal to each other in order to find y.
\frac{y-
`(y-6)/(2)= (4y-4)/(3) \\ 3(y-6)=2(4y-4) \\ 3y-18=8y-8 \\ -10=5y \\ y=-2`6}{2} [/tex]

So now you know that y=-2. The next part is substitution. All you have to do is pick on of the equations and plug in the y value to get the x value.

So your answer to the question is (-4,-2). I hope I've helped you understand how to solve these types of problems. If you have any questions, don't hesitate to ask.