How do I solve simultaneous equations graphically? e.g (1) 4x - 3y = 11 (2) 3x + 2y = 4

Firstly, let's rewrite each of these equations as the equation of a line i.e. in terms of y. So we have:

(1) y = 4x/3 - 11/3

(2) y = 2 - 3x/2

Draw line (1) on a graph. The (x,y) co-ordinates of any point on this line represent a pair of values for x and y which solve the equation y = 4x/3 - 11/3. Draw line (2) on the graph. Like with (1), the (x.y) co-ordinates on this line solve the equation y = 2 - 3x/2 . The intersection of these points is the point where both equations are solved. In this case, it is the point (2, -1), so our answer is x = 2 and y = -1