Solve by Substitution.
\[
\left\{\begin{array}{l}
x-3 y=8 \\
-9 y=24-3 x
\end{array}\right.
\]
No solution
Infinite number of solutions
Final Answer: The system of equations has \(\boxed{\text{No solution}}\)
Step 1 :The system of equations is given as \(\begin{cases} x-3y=8 \\ -9y=24-3x \end{cases}\)
Step 2 :First, we solve the second equation for x, which gives us \(x = 3y + 8\)
Step 3 :We then substitute this expression into the first equation, which gives us an equation in terms of y only
Step 4 :However, the solution for y is an empty list, which means that there is no solution for y that satisfies the equation
Step 5 :This implies that the system of equations has no solution
Step 6 :Final Answer: The system of equations has \(\boxed{\text{No solution}}\)