SOLUTION: E is the midpoint of segment DF, DE= 2x + 4, and EF= 3x - 1. Find DE, EF and DF.

Algebra ->  Points-lines-and-rays -> SOLUTION: E is the midpoint of segment DF, DE= 2x + 4, and EF= 3x - 1. Find DE, EF and DF.      Log On


   

Question 491185: E is the midpoint of segment DF, DE= 2x + 4, and EF= 3x - 1. Find DE, EF and DF.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Since E is the midpoint of DF, then DE = EF, so...
2x+4 = 3x-1 Subtract 2x from both sides.
4 = x-1 Add 1 to both sides.
x = 5
DE = 2x+4 Substitute x = 5.
DE = 2(5)+4
DE = 14
EF = 3x-1 Substitute x = 5.
EF = 3(5)-1
EF = 14
DF = 14+14
DF = 28.