Answer
$(0,0)$
Work Step by Step
To solve the given problem we will have to plug the simplest equation into the other equation and then solve for the other variable.
$7x=3y $ or $x=\dfrac{3y}{7}$
Now, $3x+4y=0$
or, $3(\dfrac{3y}{7})+4y=0$
or, $37y=0$
or, $y=0$ and $x=\dfrac{3y}{7}=0$
Hence, the desired result is $(0,0)$
