Back to 11.2 Systems of Linear Equations: Three Variables

Determining Whether an Ordered Triple Is a Solution to a System

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Determine whether the ordered triple $\left(3 , −2 , 1\right)$ is a solution to the system.

\begin{matrix} x + y + z = 2 \\ 6 x - 4 y + 5 z = 31 \\ 5 x + 2 y + 2 z = 13\end{matrix}

OpenStax Algebra and Trigonometry 2e, 11.2 Systems of Linear Equations: Three Variables, exercise 7

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.