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. $\{\begin{array}{r} x + 2 y = - 7 \\ x + y = - 3 \end{array}$

The solution of the given system of equation is $x = 1, y = - 4; (1, - 4)$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given equations are:

$\begin{array}{rcl} x + 2 y & = & - 7 \\ x + y & = & - 3 \end{array}$

Step 2. Determine the value of one variable by substitution.

The second equation can be written as:

$x = - 3 - y$

Substitute this in the first equation.

$\begin{array}{rcl} (- 3 - y) + 2 y & = & - 7 \\ - 3 + y & = & - 7 \\ y & = & - 7 + 3 \\ y & = & - 4 \end{array}$

Step 3. Determine the value of another variable.

Substitute $y = - 4$ in $x = - 3 - y$ .

$\begin{array}{rcl} x & = & - 3 - (- 4) \\ = & - 3 + 4 \\ = & 1 \end{array}$

The solution of the given system of equation is $x = 1, y = - 4; (1, - 4)$ .

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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. $\{\begin{array}{r} x + 2 y = - 7 \\ x + y = - 3 \end{array}$

Step by Step Solution

Step 1. Given information.

Step 2. Determine the value of one variable by substitution.

Step 3. Determine the value of another variable.

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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+2y=-7x+y=-3

Step by Step Solution

Step 1. Given information.

Step 2. Determine the value of one variable by substitution.

Step 3. Determine the value of another variable.

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Solve each system of equations. If the system has no solution, say that it is inconsistent. $\{\begin{array}{r} x + 2 y = - 7 \\ x + y = - 3 \end{array}$