Question

Point E is between points D and F. If DE = x − 1, EF = 4x + 2, and DF = 6x − 7, find x.

Answer 1

DE = x − 1

EF = 4x + 2

DF = 6x − 7

DE + EF = DF

x-1 + 4x +2 = 6x -7

x + 4x - 6x = 1-2-7

-x = -8

x = 8