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Q15.

Expert-verified

Algebra 1

Found in: Page 179

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Solve each equation by graphing.
$118 + 11 x = - 3$

The solution of equation $118 + 11 x = - 3$ is $x = - 11$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. State the Concept of solving an equation by graphing.

A linear function is a function whose graph is a straight line. The solution or root of an equation is any value that makes the equation true. A linear equation has at most one root. Root of an equation can be calculated by graphing the related function. To write the related function for an equation, replace 0 with $f (x)$ .

Step 2. Write the related function.

Since the equation is given to be $118 + 11 x = - 3$ ,

$118 + 11 x + 3 = - 3 + 3 11 x + 121 = 0$

therefore, its related function will be $11 x + 121 = f (x)$ . To graph the function, make a table.

x	$f (x) = 11 x + 121$	$f (x)$	(x, $f (x)$ )
$- 11$	$\begin{matrix} f (- 11) = 11 (- 11) + 121 \\ = 0 \end{matrix}$	0	$(- 11, 0)$
0	$\begin{matrix} f (0) = 11 (0) + 121 \\ = 121 \end{matrix}$	121	$(0, 121)$

Step 3. Plot the function.

Graph the equation $11 x + 121 = f (x)$ by plotting the values from the table and get:

The graph intersects the x-axis at $- 11$ . So, the solution is $x = - 11$ .

Most popular questions for Math Textbooks

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F $- 4$

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