Chapter 3: Q15. (page 179)

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

Short Answer

Expert verified

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

Step by step solution

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 $x = - 11$ .

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

Short Answer

Step by step solution

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

Step 2. Write the related function.

Step 3. Plot the function.

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

Short Answer

Step by step solution

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

Step 2. Write the related function.

Step 3. Plot the function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

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