Systems of Equations: Graphical Method

Systems of equations or simultaneous equations can also be solved by the graphical method.

To do that, we draw the graph for each of the equation and look for a point of intersection between the two graphs. The coordinates of the point of intersection would be the solution to the system of equations.

If the two graphs do not intersect - which means that they are parallel - then there is no solution.

Example :

Using the graphical method, find the solution of the systems of equations

y + x = 3

y = 4x - 2

Solution :

Draw the two lines graphically and determine the point of intersection from the graph.

From the graph, the point of intersection is (1, 2)

Have a look at the following video for another example on how to solve systems of equations using the graphical method.:

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