Answer
x=0
y=0
(0,0)
Work Step by Step
$3x+4y=0$
$7x=3y$
Solve for x in the second equation.
$7x=3y\longrightarrow$ Divide both sides by 7.
$7x\div7=3y\div7\longrightarrow$ Simplify.
$x=\frac{3}{7}y$
Substitute for x in the first equation. Solve for y.
$3(\frac{3}{7}y)+4y=0\longrightarrow$ Simplify.
$(\frac{9}{7}y)+4y=0\longrightarrow$ Simplify.
$5\frac{2}{7}y=0$
$y=0$
Substitute for y in the second equation. Solve for x.
$7x+3(0)\longrightarrow$ Simplify.
$7x=0\longrightarrow$ Simplify.
$x=0$