Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Solve each system of equations. If the system has no solution, say that it is inconsistent.
$2 x - 3 y - z = 0 3 x + 2 y + 2 z = 2 x + 5 y + 3 z = 2$

The solution set for the given system is ${(x, y, z) = (\frac{6 - 4 z}{13}, \frac{4 - 7 z}{13}, z) / z \in R}$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

We are given an equation

$2 x - 3 y - z = 0 (1) 3 x + 2 y + 2 z = 2 (2) x + 5 y + 3 z = 2 (3)$

Step 2: Multiply equation 1 by 2 and equation 2 by 3And then add both the equation

We get,

$2 (2 x - 3 y - z = 0) 4 x - 6 y - 2 z = 0 (4) 3 (3 x + 2 y + 2 z = 2) 9 x + 6 y + 6 z = 5 (5)$

Now we add both the equation

$4 x - 6 y - 2 z = 0 + 9 x + 6 y + 6 z = 4 13 x + 4 z = 4$

Hence we have

$13 x + 4 z = 4 x = \frac{4 - 4 z}{13}$

Step 3: Multiply equation 1 by 3 and then add it to equation 3

We get,

$3 (2 x - 3 y - z = 0) 6 x - 9 y - 3 z = 0$

And now we add,

$3 x + 2 y + 2 z = 2 - 3 x - 15 y - 9 z = - 6 - 13 y - 7 z = - 4$

Hence we get, $- 13 y - 7 z = - 4 y = \frac{- 7 z + 4}{13}$

Step 4: Conclusion

The solution set for the given equation is

${(x, y, z) = (\frac{6 - 4 z}{13}, \frac{4 - 7 z}{13}, z) / z \in R}$

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Solve each system of equations. If the system has no solution, say that it is inconsistent.
$2 x - 3 y - z = 0 3 x + 2 y + 2 z = 2 x + 5 y + 3 z = 2$

Step by Step Solution

Step 1: Given information

Step 2: Multiply equation 1 by 2 and equation 2 by 3And then add both the equation

Step 3: Multiply equation 1 by 3 and then add it to equation 3

Step 4: Conclusion

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Solve each system of equations. If the system has no solution, say that it is inconsistent.2x-3y-z=0 3x+2y+2z=2 x+5y+3z=2

Step by Step Solution

Step 1: Given information

Step 2: Multiply equation 1 by 2 and equation 2 by 3And then add both the equation

Step 3: Multiply equation 1 by 3 and then add it to equation 3

Step 4: Conclusion

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Solve each system of equations. If the system has no solution, say that it is inconsistent.
$2 x - 3 y - z = 0 3 x + 2 y + 2 z = 2 x + 5 y + 3 z = 2$