Step 1 :Rearrange equation (2) to make x the subject: \(x = 4y + 3\)
Step 2 :Substitute the rearranged equation into equation (1): \((4y + 3) - 2y = 15\)
Step 3 :Solve for y: \(2y = 12\) so \(y = 6\)
Step 4 :Substitute the value of y back into the rearranged equation to find the value of x: \(x = 4(6) + 3\)
Step 5 :\(x = 27\)
Step 6 :\(\boxed{x = 27, y = 6}\)