To solve the system of equations:
Equation 1: 8x + 5y = 24
Equation 2: y = -4x
We can substitute Equation 2 into Equation 1 to eliminate the variable y:
8x + 5(-4x) = 24
8x - 20x = 24
-12x = 24
x = 24 / -12
x = -2
Now substitute the value of x into Equation 2 to find y:
y = -4(-2)
y = 8
Therefore the solution to the system of equations is x = -2 and y = 8.