Question

How do you solve the following system?: `-2x -5y =13, 3x -6y = -4`

Answer 1

`x=-98/27` and `y=-31/27`

Explanation:

`3*(-2x-5y)+2*(3x-6y)=3*13+2*(-4)`

`-6x-15y+6x-12y=39-8`

`-27y=31`, so `y=31/(-27)=-31/27`

Thus,

`-2x-5*(-31/27)=13`

`-2x+155/27=13`

`-2x=196/27` or `x=(196/17)/(-2)=-98/27`