Final answer:
To solve the system of equations, -7x + 4y = 24 and 4x - 4y = 0, we can use the method of elimination. The solution to the system is x = -8 and y = -8.
Step-by-step explanation:
To solve the system of equations:
-7x + 4y = 24
4x - 4y = 0
We can use the method of elimination by adding the two equations together:
(-7x + 4y) + (4x - 4y) = 24 + 0
-3x = 24
Dividing both sides by -3:
x = -8
Substituting the value of x into one of the original equations:
-7(-8) + 4y = 24
56 + 4y = 24
4y = -32
Dividing both sides by 4:
y = -8
Therefore, the solution to the system of equations is x = -8 and y = -8.