Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

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Short Answer

These exercises refer to the following system:
$\{\begin{cases} x - y + z = 2 \\ - x + 2 y + z = - 3 \\ 3 x + y - 2 z = 2 \end{cases}$
To eliminate x from the third equation, we add___ times the first equation to the third equation. The third equation becomes _ $=$ ______

$- 3$ , $4 y - 5 z$ & $- 4$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

From the given question, we have been given 3 equations

$\begin{array}{l} 1. x-y+z=2 \\ 2. -x+2 y+z=-3 \\ 3. 3 x+y-2 z=2 \end{array}$

Step 2. Concept used

An equation is a statement in that the values of two mathematical expressions are equal (indicated by the sign $=$ ).

Step 3. Calculation

Lets we multiple the first equation by $- 3$ and add it to the third equation, the coefficients of x cancel each other and x will be eliminated:

$\begin{array}{l} - 3 (x - y + z = 2) \\ - 3 x + 3 y - 3 z = - 6 \end{array}$

Our first equation after multiplying by $- 3$ is $- 3 x + 3 y - 3 z = - 6$

Adding the above equation and equation 3 (given in the question), we get

$4 y - 5 z = - 4$

So, the third equation becomes $4 y - 5 z = - 4$ .

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Precalculus Mathematics for Calculus

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Short Answer

These exercises refer to the following system:
$\{\begin{cases} x - y + z = 2 \\ - x + 2 y + z = - 3 \\ 3 x + y - 2 z = 2 \end{cases}$
To eliminate x from the third equation, we add___ times the first equation to the third equation. The third equation becomes _ $=$ ______

Step by Step Solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

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These exercises refer to the following system:x−y+z=2−x+2y+z=−33x+y−2z=2To eliminate x from the third equation, we add_______ times the first equation to the third equation. The third equation becomes _______=________

Step by Step Solution

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These exercises refer to the following system:
$\{\begin{cases} x - y + z = 2 \\ - x + 2 y + z = - 3 \\ 3 x + y - 2 z = 2 \end{cases}$
To eliminate x from the third equation, we add___ times the first equation to the third equation. The third equation becomes _ $=$ ______