Example: Find the solution to the following simultaneous equations using graphs.
y=3x -2 (1)
Solution: To find the solution to simultaneous equations using graphs, we want to plot both the graphs and see where they cross. The coordinates of the crossing point will be the solution. So, firstly, we want to fill out the table for equation (1) by substituting the x values in. Doing this, we get
So, substituting x values into this equation, we get the filled out table:
Looking at the graph, we can see that the lines meet at (0.5, -0.5). So, the solution is