Questions: Solve the system by substitution. Verify your solution using a graphing calculator. y=4(x-4) y=-3(x+3) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is (Simplify your answer. Type an ordered pair.) B. The solution set is the infinite set of solutions of the equation y=4(x-4). C. The solution set is the empty set.

Solve the system of equations using substitution and verify the solution.

Identify the equations.

The given equations are \( y = 4(x - 4) \) and \( y = -3(x + 3) \).

Substitute one equation into the other.

Setting \( 4(x - 4) = -3(x + 3) \) allows us to solve for \( x \).

Solve for \( x \).

After solving, we find \( x = 1 \).

Substitute \( x \) back to find \( y \).

Substituting \( x = 1 \) into \( y = 4(1 - 4) \) gives \( y = -12 \).

The solution is \( \boxed{(1, -12)} \).

The solution to the system of equations is \( \boxed{(1, -12)} \).