4x+3y=0 2x-y=0
Multiply the second equation by 2:
2*(2x - y) = 0 * 2
4x - 2y = 0
Subtract that from the first equation:
4x + 3y = 0
-(4x - 2y = 0)
-----------------
5y = 0
Divide both sides by 5:
y = 0
Substitute that into the first equation:
4x + 3y = 0
4x + 3(0) = 0
4x + 0 = 0
4x = 0
Divide both sides by 4:
x = 0
The answer is:
x = 0 and y = 0