Question

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),

Answer 1

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).