PQ = 3x + 14 and QR = 7x - 10; Find x.
Answer
3x+14=7x-10
14+10=7x-3x
24=4x
6=x

Answer:
6
Step-by-step explanation:
3x+14=7x-10
14+10=7x-3x
24=4x
6=x
The value of x in the expression is 6.
To obtain the value of x, we equate both PQ and QR
PQ = 3x + 14
PQ = 3x + 14 QR = 7x - 10
PQ = QR
(3x + 14) = (7x - 10)
3x + 14 = 7x - 10
Collect like terms
3x - 7x = - 10 - 14
-4x = - 24
Divide both sides by - 4
x = - 24 / -4
x = 6
Hence, the value of x = 6
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