The intersection of two lines is the unique point (x,y) that
the two lines meet. In order to find this point (x.y) we use
simultaneous equations or do it graphically.
L: 2x  y = 0 and K: x + 2y= 5. Find the coordinates of
the point of intersection?
Solving it graphically, You can draw both lines. In order to draw a line you must plug in values for each coordinate. 

X+2y=5 2XY=0

Draw both lines and the point of intersection can be seen to be (1,2)
Algebraic Solution
There are two unknowns so we must get rid of one. Lets get the LCM of x or y whatever is the easiest. In this case it is 2 with both of them. 

To get rid of the X. We must multiply the bottom equation by 2 

In order to get rid of x now we must subtract the equations. To subtract we just change the sign of all the items on the lower line and add. 


2x  y = 0 
Therefore the point of intersection is (1,2) 