x=3
FG=4
Explanation
Step 1
Graph
now, make the equation
as you can see in the graph
[tex]\begin{gathered} \text{yellow line=red line+ blue line} \\ \text{replacing} \\ EG=EF+FG \\ (5x-8)=x+(3x-5)\text{ Equation (1)} \end{gathered}[/tex]Step 2
Solve the equation.
[tex]\begin{gathered} (5x-8)=x+(3x-5)\text{ Equation (1)} \\ 5x-8=x+3x-5 \\ \text{add similar terms} \\ 5x-8=4x-5 \\ \text{subtract 4x in both sides} \\ 5x-8-4x=4x-5-4x \\ x-8=-5 \\ \text{ad 8 in both sides} \\ x-8+8=-5+8 \\ x=3 \end{gathered}[/tex]Step 3
Finally, replace the value for x in FG
[tex]\begin{gathered} FG=3x-5 \\ FG=3(3)-5 \\ FG=9-5 \\ FG=4 \end{gathered}[/tex]I hope this helps you
