What is the solution of the following system?

4x-y=15

3x+2y=-8

(-1,-19)

(2,-7) < - - - is this the right answer?

(4,-5)

(5,5),

4x-y = 15 3x+2y = - 8 Multiplying the first equation by two makes for an easy elimination of the y variable. 8x - 2y = 30 3x + 2y = - 8 Add vertically. 11x = 22. Divide by 11 on both sides and get x = 2. Plug into an equation. 4 (2) - y = 15 8 - y = 15 8 = 15 + y 8 - 15 = y - 7 = y. Thus the solution is indeed (2, - 7).