If the two equations have the same solution, they will have the same x value that makes them true. So solve for x for both equations and see if they are equal:
[tex]8x=87 \\
x=10.875[/tex]
[tex] \frac{2}{3} x+ \frac{3}{4} =8 \\
\frac{2}{3} x=7.25 \\
x=10.875[/tex]
Because both equations have the same x value, they have the same solution.