Chapter 3: Q13. (page 179)

Solve each equation by graphing.
$- 5 x + 35 = 0$

Short Answer

Expert verified

The solution of equation $- 5 x + 35 = 0$ is $x = 7$ .

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 $- 5 x + 35 = 0$ , therefore, its related function will be $- 5 x + 35 = f (x)$ . To graph the function, make a table.

x	$f (x) = - 5 x + 35$	$f (x)$	(x, $f (x)$ )
7	$\begin{matrix} f (7) = - 5 (7) + 35 \\ = 0 \end{matrix}$	0	$(7, 0)$
5	$\begin{matrix} f (5) = - 5 (5) + 35 \\ = 10 \end{matrix}$	10	$(5, 10)$

Step 3. Plot the function.

Graph the equation $- 5 x + 35 = f (x)$ by plotting the values from the table and get:

The graph intersects the x-axis at 7. So, the solution is $x = 7$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve each equation by graphing.
$- 5 x + 35 = 0$

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

Mechanics Maths

Probability and Statistics

Theoretical and Mathematical Physics

Logic and Functions

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation by graphing.−5x+35=0

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

Mechanics Maths

Probability and Statistics

Theoretical and Mathematical Physics

Logic and Functions

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation by graphing.
$- 5 x + 35 = 0$