Elimination method:
first, Rearrange the second equation:
2x+3y=0
6x-5y=0
Multiply the first equation by 3:
6x+9y=0
6x-5y=0
Subtract the second equation to the first one:
6x+9y=0
-
6x-5y=0
_________
14y=0
Solve the result for Y:
14y=0
y=0
Replace the value of y on any equation:
6x-5y=0
6x-5(0)=0
6x=0
x=0
Solution:
x,y = (0,0)