#### Answer

(0,0)

#### Work Step by Step

There are two equations that we can use: 2x-y=0 and 4x+3y=0. Since none of them are solved for one variable, 2x-y=0 will be solved in terms of x.
2x-y=0
Add y to 0.
2x=y
Substitute y=2x into 4x+3y=0.
4x+3(2x)=0
Distribute.
4x+6x=0
Combine like terms.
10x=0
Divide both sides by 10.
$\frac{10y}{10}$=$\frac{0}{10}$
x=0
Substitute x=0 into x=2y to solve for y.
y=2x
y=2(0)
y=0
The ordered pair would then be (0,0) since x=0 and y=0