Step 1 :First, we solve the first equation for x: \(x = -3y - 1\)
Step 2 :Next, we substitute this expression for x into the second equation: \(-3(-3y - 1) - 4y = 5\)
Step 3 :Solving this equation gives us \(y = \frac{2}{5}\)
Step 4 :Substituting \(y = \frac{2}{5}\) back into the first equation gives us \(x = -\frac{11}{5}\)
Step 5 :\(\boxed{(x, y) = \left(-\frac{11}{5}, \frac{2}{5}\right)}\)