Find the common point of the lines 2x+2y=4 and x-3y=5 Solution To find the common point of the lines 2x+2y = 4....(1) and x-3y =5..(2), we solve the equations by substitution. Add 3y to both sides of eq (2). x = 3y+5 We substitute x = 3y + 5 in th first equation, 2x+2y =4 2(3y +5) +2y = 4. Open the brackects: 6y +10 = 4 Subtract 5: 6y =4-10 = -6 6y/6 = -6/6 = -1. y= -1. Put y = -1 in the first eq: x -3y = 5 x -3(-1) = 5 x = 5-3 = 2. x = 2 and y =-1..