Given
- PQ = QR . . . . . . Q is the midpoint of PR
- PQ = 3x+14
- QR = 7x-10
Find
Solution
Put the given expressions in the given relation.
... 3x +14 = 7x -10
Subtract the left side.
... 0 = (7x -10) -(3x +14)
... 0 = (7-3)x +(-10-14) . . . . . simplify
... 0 = 4x -24
Divide by the coefficient of x.
... 0 = x - 6
Add the opposite of the constant.
... 6 = x
The value of x is 6.