SOLUTION: Points H, G, and J are collinear, and G is between H and J. If HG = 3x − 4, HJ = 4x + 3, and GJ = 3x + 4, what is HJ?

Algebra ->  Geometry-proofs -> SOLUTION: Points H, G, and J are collinear, and G is between H and J. If HG = 3x − 4, HJ = 4x + 3, and GJ = 3x + 4, what is HJ?       Log On


   



Question 990223: Points H, G, and J are collinear, and
G is between H and J. If HG = 3x − 4,
HJ = 4x + 3, and GJ = 3x + 4,
what is HJ?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
On the same line,
HJ=HG +GJ
4x+3=3x-4+3x+4
4x+3=6x
2x=3; divide both sides by 2. and 3/2= 1.5
x= 1.5
==
HJ=9 by substituting 1.5 for x.
The other two are 0.5 and 8.5