Book edition 7th Edition

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

Pages 948 pages

ISBN 9781337067508

Answers without the blur.

Just sign up for free and you're in.

Short Answer

Eliminating a Variable
Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system.
$\{\begin{cases} - 5 x + 2 y - 3 z = 3 \\ 10 x - 3 y + z = - 20 \\ - x + 3 y + z = 8 \end{cases}$
Eliminate the x-term from the second equation.

Hence after eliminating $x$ from the second equation, the new equivalent system is: $\{\begin{cases} - 5 x + 2 y - 3 z = 3 \\ y - 5 z = - 14 \\ - x + 3 y + z = 8 \end{cases}$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

We are given the set of linear equations that is-

$\{\begin{array}{r} - 5 x + 2 y - 3 z = 3 \\ 10 x - 3 y + z = - 20 \\ - x + 3 y + z = 8 \end{array}$

Step 2. Concept used

We have to eliminate x term from the third equation and then we have to write the new equivalent system.

Step 3. Calculation

Since we have to eliminate x from the second equation.

Thus we are going to add the second equation with 2 times the first equation.

$\begin{array}{l} 2 (- 5 x + 2 y - 3 z = 3) \\ - 10 x + 4 y - 6 z = 6 \end{array}$

We are adding the above equation with the second equation, we get

$y - 5 z = - 14$

Now replacing the second equation with the new equation, we get the following equivalent system:

$\begin{array}{l} - 5 x + 2 y - 3 z = 3 \\ y - 5 z = - 14 \\ - x + 3 y + z = 8 \end{array}$

Select your language

Precalculus Mathematics for Calculus

Answers without the blur.

Short Answer

Eliminating a Variable
Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system.
$\{\begin{cases} - 5 x + 2 y - 3 z = 3 \\ 10 x - 3 y + z = - 20 \\ - x + 3 y + z = 8 \end{cases}$
Eliminate the x-term from the second equation.

Step by Step Solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Precalculus Mathematics for Calculus

Answers without the blur.

Short Answer

Eliminating a VariablePerform an operation on the given system that eliminates the indicated variable. Write the new equivalent system.−5x+2y−3z=310x−3y+z=−20−x+3y+z=8Eliminate the x-term from the second equation.

Step by Step Solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths

Eliminating a Variable
Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system.
$\{\begin{cases} - 5 x + 2 y - 3 z = 3 \\ 10 x - 3 y + z = - 20 \\ - x + 3 y + z = 8 \end{cases}$
Eliminate the x-term from the second equation.