2x+5y=-4

4x-5y=22
What is the solution to the above system of equations?\
A. (3, -2)
B. (13/3, -25/3)
C. (-2, 3)
D. (3, 2/5)

1 answer

To solve this system of equations, you can use the method of elimination.

First, add the two equations together:

(2x + 5y) + (4x - 5y) = -4 + 22
6x = 18
x = 3

Substitute this value of x back into one of the original equations:

2(3) + 5y = -4
6 + 5y = -4
5y = -10
y = -2

The solution to the system of equations is (x, y) = (3, -2).

Therefore, the correct answer is A. (3, -2).