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Precalculus Mathematics for Calculus
Found in: Page 697
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

Eliminating a Variable

Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system.


Eliminate the x-term from the second equation.

Hence after eliminating $x$ from the second equation, the new equivalent system is: 5x+2y3z=3y5z=14x+3y+z=8

See the step by step solution

Step by Step Solution

Step 1. Given information

We are given the set of linear equations that is-


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.


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


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


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