Chapter 2: Q. 247 (page 252)

In the following exercise, solve each linear equation.
$8 (6 t - 5) - 35 = - 27$

Short Answer

Expert verified

The solution of the given equation is $t = 1 .$

Step by step solution

Step 1. Given information

The given equation is $8 (6 t - 5) - 35 = - 27$ .

We have to solve the given equation.

Step 2. Solving the given equation

$\begin{array}{l} Now, \\ \Rightarrow 8 (6 t - 5) - 35 = - 27 \\ \Rightarrow 48 t - 40 - 35 = - 27 [UsetheDistributiveProperty] \\ \Rightarrow 48 t - 75 = - 27 [Combinetheliketerms] \\ \Rightarrow 48 t - 75 + 75 = - 27 + 75 [Add75boththesides] \\ \Rightarrow 48 t = 48 \\ \Rightarrow \frac{48 t}{48} = \frac{48}{48} [Divideboththesidesby 48] \\ \Rightarrow t = 1 \end{array}$

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.

In the following exercise, solve each linear equation.
$8 (6 t - 5) - 35 = - 27$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving the given equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Logic and Functions

Mechanics Maths

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercise, solve each linear equation.86t−5−35=−27

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving the given equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Logic and Functions

Mechanics Maths

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercise, solve each linear equation.
$8 (6 t - 5) - 35 = - 27$