Question

5x - 2y = -48
2x + 3y = -23
Solve for x and y

Answer 1

x = -10, and y = -1

Explanation:

5x - 2y = -48

2x + 3y = -23

First equation times -2: -10x + 4y = 96

Second equation times 5: 10x + 15y = -115

Add the last two equations: 19y = -19

y = -1

Substitute 1 for y in the first original equation.

5x - 2y = -48

5x - 2(-1) = -48

5x + 2 = -48

5x = -50

x = -10

Solution: x = -10, and y = -1