Algebra/Solutions of systems of linear equations
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Solutions of systems of linear equations
[edit | edit source]A solution of a system of linear equations is a set of numbers for each variable that makes every equation true.
Number of solutions for a system of linear equationsA system can either have
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This can be demonstrated using 2 variable sets of equations.
No solutions
![](http://upload.wikimedia.org/wikipedia/commons/thumb/1/14/Parallel_Lines.svg/200px-Parallel_Lines.svg.png)
One solution
![](http://upload.wikimedia.org/wikipedia/commons/thumb/c/c0/Intersecting_Lines.svg/200px-Intersecting_Lines.svg.png)
Infinite solutions
![](http://upload.wikimedia.org/wikipedia/commons/thumb/8/87/Linear_function.svg/200px-Linear_function.svg.png)