SOLUTION: Y is between X and Z. XY=3x+1, YZ=2x-2, and XZ=84. Find YZ.

Algebra ->  Angles -> SOLUTION: Y is between X and Z. XY=3x+1, YZ=2x-2, and XZ=84. Find YZ.       Log On


   

Question 1184969: Y is between X and Z. XY=3x+1, YZ=2x-2, and XZ=84. Find YZ.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

X ........................Y..................................................Z
XY=3x%2B1
YZ=2x-2
XZ=84
YZ=XZ-XY
2x-2=84-%283x%2B1%29
2x-2=84-3x-1
2x%2B3x=84%2B2-1
5x=85
x=17
YZ=2%2A17-2
YZ=32