Determine the number of solutions

Calculus Level 2

{ 3 x − 5 y + 5 z = 1 − 4 x − 6 y − 2 z = − 40 2 x + y + 3 z = 24 \large \begin{cases} 3x-5y+5z=1 \\ -4x-6y-2z=-40 \\ 2x+y+3z=24 \end{cases}

How many solutions does the system of equations above have?

One solution No solution Cannot be determined Infinitely many solutions

Srithan Andra by Srithan Andra , 47, USA

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2 solutions

האל גליק
Sep 14, 2019

Row reduce

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Steven Chase
Aug 8, 2018

The system matrix is invertible (it has a non-zero determinant). That indicates that the system has a single unique solution.

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