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Q14.

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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.

5x+2y3z=310x3y+z=20x+3y+z=8

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-

5x+2y3z=310x3y+z=20x+3y+z=8

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.

2(5x+2y3z=3)10x+4y6z=6

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

y-5z=-14

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

5x+2y3z=3y5z=14x+3y+z=8

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