Which of the following is a solution to the system of linear equations below 3x+y=15 and 2x+2y=6

A) (-3,6)

B) (6,-3)

C) (-6,33)

D) (6,33)

To find the solution to a set of linear equations, set them both to y=kx form

In this case,

1) 3x+y=15 would be y = - 3x+15

2) 2x+2y=6 would be y = - x+3

3) Set them equal to each other

4) - 3x+15 = - x+3

5) x=6

So now we know the x coordinate as 6

Plug in this x value in one of the y = equations

6) (-3*6) + y=15

(solve for y)

y = 33

Therefore, the solution is (6,33)