Step 1 :Given the system of equations: \(3x - 5y = 11\) and \(2x + 4y = 0\)
Step 2 :We can eliminate one of the variables by multiplying the second equation by 1.5 and then adding the two equations together. This will give us a new equation in terms of x.
Step 3 :Solving the new equation, we find that \(x = 2\)
Step 4 :Substituting \(x = 2\) back into one of the original equations, we can solve for y. Doing this, we find that \(y = -1\)
Step 5 :Thus, the solution to the system of equations is \(\boxed{(2, -1)}\)