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Number of Solutions
Question: How do we determine the number of solutions to the following system of linear equations? |
| Yours
Truly answers: We first convert each equation into
the form y = mx + b. From the first equation, we get:  From the second equation, we get  Both of the original equations have yielded an identical equation. Geometrically, this means that the corresponding lines sit on top of each other, resulting in infinitely many points of intersection. Algebraically, we conclude that the original system of equations has infinitely many solutions. |
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Disclaimer • Updated September 4, 2008
Email: mitsuma@kutztown.edu
Phone: +1 (610) 462-WPJW
Phone: +1 (610) 462-WPJW