Answer:
4
Step-by-step explanation:
Make PQ = QR in an equation.
7x - 14 = 3x + 2
Use inverse operations to solve for x.
10x = 16
x = 1.6
Rewrite with PQ + QR as an expression and substitute x.
7(1.6) - 14 + 3(1.6) + 2
11.2 - 14 + 4.8 + 2
4
PR = 14 units
Since we know that Q is the midpoint of PR, this would mean that PQ and QR are equal to each other. So, we can set them equal to each other and solve for x to determine the length of PR.
PQ = 7x - 14
QR = 3x - 2
7x - 14 = 3x - 2
7x - 3x = -2 + 14
4x = 12
x = 3
Substitute the value in for x.
7(3) - 14 = 21 - 14 = 7
3(3) - 2 = 9 - 2 = 7
7 + 7 = 14
Therefore the length of PR equals 14 units.