6x + y = - 39

3x + 2y = - 15

elimination using multiplication

Multiply the second equation by 2 so that its

6x+4y=-30

then subtract

6x+y=-39

6x+4y=-30

= - 3y=-69

divide by - 3 to isolate the y

then you get y=23

substitute the y value back into one of the equations to solve for x.

6x+23=-31

solve like you always do and you'll get your x

Congratulations, you solved a problem.