Solve the system of equations by the substitution method.
\[
\begin{array}{l}
x=3 y+3 \\
x=8 y-7
\end{array}
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is (Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.
Answer
Final Answer: The solution set is \(\boxed{(9, 2)}\).
Step 1 ：The system of equations is given by: \(x = 3y + 3\) and \(x = 8y - 7\).
Step 2 ：We can solve this system by substitution. Since both equations are already solved for \(x\), we can set them equal to each other and solve for \(y\).
Step 3 ：Setting the two equations equal to each other gives us \(3y + 3 = 8y - 7\).
Step 4 ：Solving this equation for \(y\) gives us \(y = 2\).
Step 5 ：Substituting \(y = 2\) into either of the original equations to find the value of \(x\) gives us \(x = 9\).
Step 6 ：Final Answer: The solution set is \(\boxed{(9, 2)}\).
