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Back to 11.2 Systems of Linear Equations: Three Variables

11.2 Exercise 45

Avg difficulty 2.5

Solve each system by Gaussian elimination.

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

OpenStax Algebra and Trigonometry 2e, 11.2 Systems of Linear Equations: Three Variables, exercise 45

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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.