SOLUTION: if c is between a and b, and ab = 4x+10 and ac = 8x-67, what value of x would make c the midpoint of ab?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: if c is between a and b, and ab = 4x+10 and ac = 8x-67, what value of x would make c the midpoint of ab?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 985531: if c is between a and b, and ab = 4x+10 and ac = 8x-67, what value of x would make c the midpoint of ab?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if c is between a and b, and ab = 4x+10 and ac = 8x-67, what value of x would make c the midpoint of ab?
------
ac = (1/2)(ab), if c is the midpoint
----
8x-67 = (1/2)(4x+10)
16x - 134 = 4x+10
12x = 144
x = 12
------------
Cheers,
Stan H.
------------------