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
x + 4y - 3z = -8
3x - y + 3z = 12
x + y + 6z = 1

The solution of the system can be given as ${(x, y, z) = (- 3, - \frac{8}{3}, \frac{1}{9})}$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

We are given a system of equations

$x + 4 y - 3 z = - 8 (1) 3 x - y + 3 z = 12 (2) x + y + 6 z = 1 (3)$

Step 2: Add equation 1 and 2

We get,

$x + 4 y - 3 z = - 8 + 3 x - y + 3 z = 12 4 x + 3 y = 4$

Hence we get, $4 x + 3 y = 4$ (4)

Now Multiply equation 1 by 2 and add it to equation 3

We get,

$2 (x + 4 y - 3 z = - 8) 2 x + 8 y - 6 z = - 16$

Also

$2 x + 8 x - 6 z = - 16 + x + y + 6 z = 1 3 x + 9 y = - 15$

Hence we get

$3 x + 9 y = - 15 x + 3 y = - 5 (5)$

Step 3: Subtract equation 4 and 5

We get,

$4 x + 3 y = 4 - x - 3 y = 5 3 x = 9$

hence x=3

Step 4: Find the values of y and z

We get,

$x + 3 y = - 5 3 + 3 y = - 5 3 y = - 8 y = - \frac{8}{3}$

Now also we have

$x + 4 y - 3 z = - 8 - 3 + 4 (- \frac{8}{3}) - 3 z = - 8 z = \frac{1}{9}$

The solution set is ${(x, y, z) = (- 3, - \frac{8}{3}, \frac{1}{9})}$

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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
x + 4y - 3z = -8
3x - y + 3z = 12
x + y + 6z = 1

Step by Step Solution

Step 1: Given information

Step 2: Add equation 1 and 2

Step 3: Subtract equation 4 and 5

Step 4: Find the values of y and z

Most popular questions for Math Textbooks

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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 inconsistentx + 4y - 3z = -83x - y + 3z = 12x + y + 6z = 1

Step by Step Solution

Step 1: Given information

Step 2: Add equation 1 and 2

Step 3: Subtract equation 4 and 5

Step 4: Find the values of y and z

Most popular questions for Math Textbooks

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Pure Maths

solve each system of equations. If the system has no solution, say that it is inconsistent
x + 4y - 3z = -8
3x - y + 3z = 12
x + y + 6z = 1