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Back to 11.6 Solving Systems with Gaussian Elimination

11.6 Exercise 68

Avg difficulty 2.5

Solve the system by Gaussian elimination.

− 1 2 x+ 1 2 y+ 1 7 z=− 53 14    1 2 x− 1 2 y+ 1 4 z=3     1 4 x+ 1 5 y+ 1 3 z= 23 15 \begin{matrix}- \frac{1}{2} x + \frac{1}{2} y + \frac{1}{7} z = - \frac{53}{14} \\ \textrm{ }\textrm{ } \frac{1}{2} x - \frac{1}{2} y + \frac{1}{4} z = 3 \\ \textrm{ }\textrm{ }\textrm{ } \frac{1}{4} x + \frac{1}{5} y + \frac{1}{3} z = \frac{23}{15}\end{matrix}

OpenStax Algebra and Trigonometry 2e, 11.6 Solving Systems with Gaussian Elimination, exercise 68

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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.