Final answer:
To solve the system of equations 4x + 8y = 4 and -7x + 9y = -53, we can use either the substitution method or the elimination method. Let's use the elimination method in this case. The solution to the system of equations is x = -23, y = 12.
Step-by-step explanation:
To solve the system of equations 4x + 8y = 4 and -7x + 9y = -53, we can use either the substitution method or the elimination method.
Let's use the elimination method in this case. We'll multiply the first equation by -7 and the second equation by 4 to eliminate the x term:
-28x - 56y = -28
-28x + 36y = -212
Adding the two equations together, we get:
-20y = -240
y = 12
Substituting this value of y back into the first equation, we can solve for x:
4x + 8(12) = 4
4x + 96 = 4
4x = -92
x = -23
Therefore, the solution to the system of equations is x = -23, y = 12.