Question

PQ= 2x +1 and QR= 5x - 44; find PQ

Answer 1

2x+1=5x-44 that would be your equation

next start to simplify 

subtract 1 from both sides so you are left with 2x=5x-45

then subtract 5x from both sides and you have -3x=-45

then finally divide -3 from -45 to get x=15

Answer 2

Answer:

$PQ=31\ units$

Step-by-step explanation:

we know that

In this problem Q is the midpoint of PR

so

$PQ=QR$

we have

$PQ=2x+1$ -----> equation A

$QR=5x-44$ -----> equation B

equate equation A and equation B

$2x+1=5x-44$

solve for x

$5x-2x=1+44$

$3x=45$

$x=15$

Find the value of PQ

$PQ=2x+1$ ------> $PQ=2(15)+1=31\ units$