The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to...

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The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of zas in Example 3.)

2x+y−z=2
x−y+2z=4
x+y−z=1
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