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Back to 11.2 Systems of Linear Equations: Three Variables

11.2 Exercise 49

Avg difficulty 2.5

Solve each system by Gaussian elimination.

− 1 4 x− 5 4 y+ 5 2 z=−5 − 1 2 x− 5 3 y+ 5 4 z= 55 12 − 1 3 x− 1 3 y+ 1 3 z= 5 3 \begin{matrix} \\ - \frac{1}{4} x - \frac{5}{4} y + \frac{5}{2} z = −5 \\ - \frac{1}{2} x - \frac{5}{3} y + \frac{5}{4} z = \frac{55}{12} \\ - \frac{1}{3} x - \frac{1}{3} y + \frac{1}{3} z = \frac{5}{3}\end{matrix}

OpenStax Algebra and Trigonometry 2e, 11.2 Systems of Linear Equations: Three Variables, exercise 49

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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.