Answer: x = -1 and y = 9
Explanation:
To solve this system of equations, we can use the substitution method.
First, solve the first equation for y:
y = -x + 8
Now, substitute this expression for y into the second equation and solve for x:
4x + y = 5
4x + (-x + 8) = 5 (substituting -x + 8 for y)
3x + 8 = 5
3x = -3
x = -1
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:
y = -x + 8
y = -(-1) + 8
y = 9
Therefore, the solution to the system of equations is x = -1 and y = 9.