Answer
(0,0)
Work Step by Step
There are two equations that we can use: x-3y=0 and 5x+2y=0. Since none of them are solved for one variable, x-3y=0 will be solved in terms of x.
x-3y=0
Add 3y to 0.
x=3y
Substitute x=3y into 5x+2y=0.
5(3y)+2y=0
Distribute.
15y+2y=0
Combine like terms.
17y=0
Divide both sides by 17.
$\frac{17y}{17}$=$\frac{0}{17}$
y=0
Substitute y=0 into x=3y to solve for x.
x=3y
x=3(0)
x=0
The ordered pair would then be (0,0) since x=0 and y=0
