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Solving Systems of Linear Equations

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Determine whether this system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down.

y = x x + z = 4

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Solution Summary

A system of linear equations is solved.

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A condition for a system to have a unique solution is that the number of variables is the same as the number of equations.
If the number of variables is larger then the number of *linearly independent equations*, the system has infinite number of solutions.

Here we have two equations, but three unknown variables.

In this case we see that ...

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