Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - 11.2 Systems of Linear Equations: Matrices - 11.2 Assess Your Understanding - Page 730: 10

Answer

\[ \left[\begin{array}{rr|r} 9 & -1 & 0 \\ 3 & -1 & 4 \\ \end{array} \right] \]

Work Step by Step

I modify the original equations in the form such that the constant "goes" onto the other side of the equality. $3x-y-4=0\\3x-y=4$ We know that \[ \left\{ \begin{array}{c} a_1x+b_1y=c_1 \\ a_2x+b_2y=c_2 \\ \end{array} \right. \] becomes \[ \left[\begin{array}{rr|r} a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ \end{array} \right] \] Hence here the augmented matrix is: \[ \left[\begin{array}{rr|r} 9 & -1 & 0 \\ 3 & -1 & 4 \\ \end{array} \right] \]
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