Since T is the mid point of PQ, the distance from P to T and the distance from T to Q must be equal. Therefore all we need to do is set the two equations equal to each other and solve for x. 5x + 9 = 7x - 5 5x = 7x - 5 - 9 5x = 7x -14 -2x = -14 x = 7 Then plug in x = 7 to find PT : PT = 5(7) + 9, PT = 35+9 = 44