Chapter 1: Q62. (page 32)

Solve the equation and check the solution.
$7 p - 4 = 3 (4 + 5 p)$

Short Answer

Expert verified

The solution is $p = \frac{8}{11}$ .

Step by step solution

Step 1- Consider the equation.

Consider the equation $7 p - 4 = 3 (4 - 5 p)$ .

Simplify the equation as follows:

$\begin{array}{l} 7 p - 4 = 3 (4 - 5 p) \\ 7 p - 4 = 12 - 15 p \end{array}$

Step 2- Step description.

Now, simplify the equation obtained as follows:

$\begin{matrix} 7 p - 4 = 12 - 15 p \\ 7 p + 15 p = 12 + 4 \\ 22 p = 16 \end{matrix}$

Step 3- Step description.

Divide both sides of the equation by 22.

$\begin{array}{l} 22 p = 16 \\ p = \frac{16}{22} \end{array}$

Simplify the equation further.

$\begin{array}{l} p = \frac{16}{22} \\ p = \frac{8}{11} \end{array}$

Therefore, the solution is $p = \frac{8}{11}$ .

Step 4- Verify the solution.

Substitute $p = \frac{8}{11}$ in the equation and simplify as follows:

$\begin{matrix} 7 p - 4 = 3 (4 - 5 p) \\ 7 (\frac{8}{11}) - 4 = 3 (4 - 5 (\frac{8}{11})) \\ \frac{56}{11} - 4 = 12 - \frac{120}{11} \\ \frac{56 - 44}{11} = \frac{132 - 120}{11} \\ \frac{12}{11} = \frac{12}{11} \end{matrix}$

Since the left-hand side of the equation is equal to the right-hand side of the equation, therefore, the solution is $p = \frac{8}{11}$ .

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 the equation and check the solution.
$7 p - 4 = 3 (4 + 5 p)$

Short Answer

Step by step solution

Step 1- Consider the equation.

Step 2- Step description.

Step 3- Step description.

Step 4- Verify the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Pure Maths

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the equation and check the solution.7p-4=34+5p

Short Answer

Step by step solution

Step 1- Consider the equation.

Step 2- Step description.

Step 3- Step description.

Step 4- Verify the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Pure Maths

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the equation and check the solution.
$7 p - 4 = 3 (4 + 5 p)$