Question

F is a point on segment EG. If EF = 19, FG = x + 13, and EG = 6x + 14, what is EG?Simplify your answer and write it as a proper fraction, mixed number, or integer.

Answer 1

You have the segment EG and point F in it.

Point F separates the segment in two smaller ones EF and FG.

You can say that

EG= EF + FG

You have to replace the name of the segments with their values to get the equation:

$6x+14=19+(x+13)$

Now that you have a one unknown equation you can clear X

$\begin{gathered} 6x=19+x+13-14 \\ 6x-x=\text{ 18} \\ 5x=18 \\ x=\frac{18}{5}=\text{ 3.6} \end{gathered}$

The value of x is 3.6