In order to know if the point (3,4) lies on both lines we need to substitute in each equation the value of the coordinate x and if the point lies on the line the y-coordinate must be the same of the given
For the first equation
x=3
[tex]\begin{gathered} 4(3)-3y=0 \\ 12-3y=0 \\ -3y=-12 \\ y=\frac{-12}{-3} \\ y=4 \end{gathered}[/tex]
The point calculated is (3,4)
For the second equation
x=3
[tex]\begin{gathered} -4(3)+3y=0 \\ -12+3y=0 \\ 3y=12 \\ y=\frac{12}{3} \\ y=4 \end{gathered}[/tex]
The point calculated is (3,4)
As we can see the points calculated are congruent with the point given therefore the point (3,4) lies on both lines.
ANSWER
YES
