Question

Use the diagram below to answer question, if QR = 6x + 1, PR = 14x – 13, and 1 point

PQ = 5x – 2, find PR. (Utilice el diagrama siguiente para responder a la
pregunta, si, QR = 6x + 1, PR = 14x – 13, y PQ = 5x - 2, encuentre PR.)

Answer 1

43 units

Explanation:

Given the data, QR = 6x + 1, PR = 14x – 13, and PQ = 5x - 2, it can be inferred that PQ+QR = PR

Substitute the given functions

5x - 2+6x + 1 = 14x – 13

collect like terms

5x+6x-2+1 = 14x – 13

11x-1 = 14x – 13

11x-14x = -13+1

-3x = -12

Divide both sides by -3

-3x/-3 = -12/-3

x = 4

Substitute x = 4 into PR = 14x – 13;

PR = 14(4) – 13

PR = 56-13

PR = 43

Hence the length of PR is 43 units

Answer 2

43 units

Explanation:

Given the data, QR = 6x + 1, PR = 14x – 13, and PQ = 5x - 2, it can be inferred that PQ+QR = PR

Substitute the given functions

5x - 2+6x + 1 = 14x – 13

collect like terms

5x+6x-2+1 = 14x – 13

11x-1 = 14x – 13

11x-14x = -13+1

-3x = -12

Divide both sides by -3

-3x/-3 = -12/-3

x = 4

Substitute x = 4 into PR = 14x – 13;

PR = 14(4) – 13

PR = 56-13

PR = 43

Hence the length of PR is 43 units