Answer:
We can solve the system of equations 3x + 8y = -9 and y = -5x + 22 using substitution.
First, we can isolate y in the second equation:
y = -5x + 22
Next, we can substitute this expression for y into the first equation, replacing y with (-5x + 22):
3x + 8(-5x + 22) = -9
Simplifying and solving for x:
3x - 40x + 176 = -9
-37x = -185
x = 5
Now that we have found x, we can substitute this value back into either of the original equations to find y. Using the second equation for convenience:
y = -5x + 22
y = -5(5) + 22
y = -3
Therefore, the solution to the system of equations is x = 5, y = -3.
Explanation: