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Algebra and Trigonometry, 5th Edition
book

Algebra and Trigonometry, 5th Edition

by Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger
January 2015
Intermediate to advanced
1015 pages
318h 54m
English
Pearson
Content preview from Algebra and Trigonometry, 5th Edition

9.2 Systems of Equations in Three Variables

  • Solve systems of linear equations in three variables.

  • Use systems of three equations to solve applied problems.

  • Model a situation using a quadratic function.

A linear equation in three variables is an equation equivalent to one of the form Ax+By+Cz=D, where A, B, C, and D are real numbers and none of A, B, and C is 0. A solution of a system of three equations in three variables is an ordered triple that makes all three equations true. For example, the triple (2, -1, 0) is a solution of the system of equations

4x+2y+5z=6,2x−y+z=5,3x+2y−z=4.

We can verify this by substituting 2 for x, −1 for y, and 0 for z in each equation.

Solving Systems of Equations in Three Variables

We will solve systems ...

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Publisher Resources

ISBN: 9780136747512