Simultaneous equations: graphical solver

Set two straight lines and see where they cross: that point solves both equations. Parallel lines show when there is no solution.

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Questions students ask

How do you solve simultaneous equations by graph?

Draw both lines on the same axes; the coordinates of the point where they cross are the solution.

When do simultaneous equations have no solution?

When the lines are parallel: the same gradient but different intercepts.

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