Answer to Question #135056 in Geometry for patricia

Question

Assume that Q is the midpoint of PR. Find x.
PQ = 3x + 7, QR = 5x − 19

Answer 1

Notice that, if Q is the midpoint of PR, that simply means that PQ=QR

$PQ=3x+7$

$QR = 5x − 19$

$3x+7=5x-19$

$5x-3x=7+19$

 $2x=26$

$x=13$