Step 1 :Multiply equation (1) by 5 and equation (2) by 3 to get: \(50x + 15y = -95\) and \(27x + 15y = -3\)
Step 2 :Subtract equation (4) from equation (3) to get: \(23x = -92\)
Step 3 :Divide by 23 to solve for x: \(x = -92 / 23 = -4\)
Step 4 :Substitute \(x = -4\) into equation (1) to get: \(-40 + 3y = -19\)
Step 5 :Solve for y: \(3y = 21\) then \(y = 21 / 3 = 7\)
Step 6 :\(\boxed{(-4, 7)}\) is the solution to the system of equations