Solving linear systems by graphing

Solving linear systems by graphing

In order to determine the number of solutions to a system of linear equations, other than by finding the slope of the lines, we can also graph the equations out and look for the intersection of the lines.


One Solution: Two linear equations intersect at one point. It is a consistent system of independent equation.

No Solution:Two linear equations are parallel to each other. It is an inconsistent system.

Infinite Solution:

  • 1.
    Graph the following linear equations and find the point of intersection. State the consistency.
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Solving linear systems by graphing

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