solve the system of equations.

-2x-5y=-5
x-5y=-20

A. (-5,3)
B.(3,5)

1 answer

First, we can multiply the second equation by -2 to make the coefficients of y match:

-2(x - 5y) = -2(-20)
-2x + 10y = 40

Now we can substitute this equation into the first equation to solve for y:

-2x - 5y = -5
-2x + 10y = 40

Add the two equations together:
5y = 35
y = 7

Now plug this value back into the second equation to solve for x:

x - 5(7) = -20
x - 35 = -20
x = 15

Therefore, the solution to the system of equations is (15, 7). This does not match either of the answer choices provided, so the correct answer is neither A nor B.