Question

How do you solve the following system?: `5x-7y=22 , -6x+3y=17`

Answer 1

`x=-185/27` and `y=-217/27`

Explanation:

`3*(5x-7y)+7*(-6x+3y)=3*22+7*17`

`15x-21y-42x+21y=66+119`

`-27x=185`, so `x=185/(-27)=-185/27`

`(-6)*(-185/27)+3y=17`

`370/9+3y=17`

`370+27y=153`

`27y=-217`, thus `y=-217/27`