We previously learned some algebraic methods to solve simultaneous equations. There are some situations where the equations are not solvable, or not easily solvable by algebraic methods. So today we are going to learn how we can solve them using geometric methods.

Geometrically, the solution to a pair of simultaneous equations is the coordinates of the intersection point.

Let’s see this in practice using the graph paper below to solve the following equations:

x + y = 6

x – y = 2

Maybe we could also try graphically solving the following two equations:

y = 2x + 1

x + y = 4

Exercise

Let’s complete exercise 14C from pages 223 to 224 of the textbook.

The answers are below: