Question

Which pair serves as the solution for the equation -8x - 5y = 20?

A) (4, 4)
B) (-5, 4)
C) (-4, -5)
D) (-4, -4)

Answer 1

The pair (-5, 4) serves as the solution for the equation -8x - 5y = 20.

Step-by-step explanation:

To find the pair that serves as the solution for the equation -8x - 5y = 20, we need to plug in the given options and check which one satisfies the equation.

Let's check the options:

1. (4, 4): -8(4) - 5(4) = -32 - 20 = -52 ≠ 20
2. (-5, 4): -8(-5) - 5(4) = 40 - 20 = 20 (satisfies the equation)
3. (-4, -5): -8(-4) - 5(-5) = 32 + 25 = 57 ≠ 20
4. (-4, -4): -8(-4) - 5(-4) = 32 + 20 = 52 ≠ 20

Therefore, the pair (-5, 4) is the solution for the equation -8x - 5y = 20.