Question

How do solve the following linear system?: `2x+5y=1 , -6x-2y=-8`?

Answer 1

`x=19/13` and `y=-5/13`

Explanation:

`2*(2x+5y)+5*(-6x-2y)=2*1+5*(-8)`

`4x+10y-30x-10y=2-40`

`-26x=-38`

So, `x=(-38)/(-26)=19/13`

Hence,

`2*19/13+5y=1`

`38/13+5y=1`

`5y=-25/13`, thus `y=-5/13`