You can use elimination to solve this problem... To do this we can multiply one of the equations buy -1 to eliminate y and then we'd easily be able to solve for x.
That is: 4x-y=0 (3x-y=2)-1
This gives: 4x-y=0 -3x+y=0
Then add the two equations together...4x +(-3x)-y +y = 0 +(-2) This results in x =-2
Then substitute x=-2 into any of the original equations.
Let us use the first equation : 4x-y =0
Substituting -2 for x gives us: 4(-2) -y =0
Solve for y: -8 -y =0
Add y to each side of the equation and then we get: y=-8
So now we have the x coordinate and y coordinate: (-2, -8) which is where the two lines meet.