The opposite sides of a rectangle are equal, so we can write the following equations: 2x = 3y + 5 ...........(1) x = 2y + 2 .............(2) Multiply equation (2) by 2, to get: 2x = 4y + 4 ...........(3) The right hand sides of equations (1) and (3) are equal, so we can write: 3y + 5 = 4y + 4 which gives y = 1 as the solution. Plugging y = 1 into equation (2), we find the x = 4. So the full solution is: x = 4, y = 1.
