Question

Point Q is on line segment PR

. Given QR=2x+4,PQ=x, and PR=4x-10, determine the numerical length of PR.

Answer 1

46

Explanation:

PR = PQ + QR

4x - 10 = x + 2x + 4 {Combine like terms}

4x - 10 = 3x + 4 {Add 10 to both sides}

4x = 3x + 4 + 10

4x = 3x + 14 {Subtract 3x from both sides}

4x - 3x = 14

x = 14

PR = 4x - 10 {Plugin x = 14}

= 4*14 - 10

= 56 - 10

= 46