MathAlgebraLinear algebraSystems of linear equations

Solving linear systems using the Gauss elimination

Number of solutions

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What number of solutions does the given system have? If there are no solutions, write 0. If there are infinitely many solutions, write -1.

{3x+2y5z=1y+3z=135z=9\begin{cases} 3x+2y-5z= -1\\ -y+3z =13\\ 5z = 9 \end{cases}

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