Which ordered pair is the solution to the system of equations? -5x + y = -3 3x - 8y = 24 A. (0, -3) B. (-3, 0) C. (4, 6) D. (2, 7)
-5x+y=-3
3x-8y=24
Substitution method. Solving for the first equation, because it's easy.
y=-3+5x
Plugin to the other equation.
3x-8(-3+5x)=24
Simplify: 3x+24-40x=24 (Remember, multiplying negatives makes it positive.)
Simplify: -37x + 24 = 24
Subtract: -37x = 24-24
-37x=0
x=0
Plug back into the first:
y=-3+5(0)
y=-3+0
y=-3
Option A