MathAlgebraLinear algebraSystems of linear equations

Solving systems of linear equations by substitution method

Theory

The system of three linear equations

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How many solution does this system have?

{x+y+2z=7−x+2y−z=1−x+8y+z=17\begin{cases} x + y + 2z = 7\\ - x + 2y - z = 1\\ -x + 8y + z = 17 \end{cases}

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