#### Answer

{(0,0)}

#### Work Step by Step

x-3y=0
x=0+3y
x=3y
Plug this value for x into the other equation.
5x+2y=0
5(3y)+2y=0
15y+2y=0
17y=0
y=$\frac{0}{17}$
y=0
Plug this back into the first equation to find x.
x=3y
x=3(0)
x=0
Therefore the solution is {(0,0)}