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): $(x, y)=$ Preview 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