Consider the following system:
\[
\begin{array}{l}
-5 x+3 y=55 \\
3 x+9 y=33
\end{array}
\]
What are the solution(s) to this system (if any exist)?
One or more solution(s): $(x, y)=$
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No solution
Infinite number of solutions

Step 1 ：Consider the system of equations: \(-5x + 3y = 55\) and \(3x + 9y = 33\)

Step 2 ：Multiply the first equation by 3 and the second equation by 5 to make the coefficients of x the same in both equations

Step 3 ：Subtract the second equation from the first to eliminate x, resulting in an equation in terms of y

Step 4 ：Solve this equation to find the value of y

Step 5 ：Substitute the value of y into one of the original equations to find the value of x

Step 6 ：The solution to the system of equations is \(x = -\frac{22}{3}\) and \(y = \frac{55}{9}\)

Step 7 ：\(\boxed{(x, y) = \left(-\frac{22}{3}, \frac{55}{9}\right)}\) is the final answer