Question

Find the value of the variable and XP, if X is between P and Q. XQ= 13, XP= 5x - 3, PQ= 40

Answer 1

• x = 6
• XP = 27

Explanation:

PX + XQ = PQ

5x -3 + 13 = 40

5x = 30 . . . . . . . . subtract 10

x = 6 . . . . . . . . . . divide by 5

You can find XP either from its algebraic expression or from its sum with XQ.

XP + XQ = PQ

XP + 13 = 40 . . . fill in given values

XP = 27 . . . . . . . subtract 13

Also

XP = 5x -3 = 5(6) -3

XP = 27