Question

Solve the system of linear equations by elimination.

9x +2y =39
6x +13y =-9

Answer 1

(5,-3)

Explanation:

In order to do elimination you must make x or y positive and negative so they cancel out.

`-2(9x+2y=39)\\-3(6x+13y=-9)`

`-18x-4y=-78\\18x+39y=-27`

`35y=-105\\y=(-105)/(35)\\ y=-3`

Then plug the Y back in to one equation or the other

`9x+(2*-3)=39\\9x-6=39\\9x=45\\x=5`