Solving a System of Linear Equations by Graphing

If you have a system of two linear equations, you can solve it by graphing. Here are the steps.

1.  Solve both equations for y to put them into slope-intercept form.
2.  Graph both equations on the same plane.
3.  Find the point where the lines intersect. This is the solution to the system of equations.

For a system of two linear equations, the lines could intersect once, at one point, for one solution; infinitely many times, if they are the same line, for infinitely many solutions (all real numbers); or not at all, if they are parallel lines, for no solution. Be aware of those possibilities.

Here is a video explaining how to solve a system of linear equations by graphing.

 


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