Answer
The coordinates of point X is -5.
Explanation
Let the coordinate of point X be x.
The coordinate of point F is 5.
The coordinate of point D is 1.
We are then told that FX:XD = 5:3
FX will be (5 - x)
XD will be (1 - x)
So, that ratio given will be
(5 - x):(1 - x) = 5:3
[tex]\begin{gathered} \frac{5-x}{1-x}=\frac{5}{3} \\ \text{Cross multiply} \\ 5(1-x)=3(5-x) \\ 5-5x=15-3x \\ -5x+3x=15-5 \\ -2x=10 \\ \text{Divide both sides by -2} \\ \frac{-2x}{-2}=\frac{10}{-2} \\ x=-5 \end{gathered}[/tex]
Hence, the coordinates of point X is -5.
Hope this Helps!!!
