Chapter 3: Q12MCQ. (page 139)

Solve the equation. Check your solution.
$4 d - 5 = - d$

Short Answer

Expert verified

The solution for the equation is $d = 1$ .

Step by step solution

Step 1 . Apply the concept of Linear Equation

In this type of equation, simply use the tools of mathematical operations like addition, subtraction, multiplication or division to eliminate the numbers in the equation and also maintaining the equality by using the proper numbers and get the result.

Step 2 . Find the value of d by solving the inequality

Since, the equation is $4 d - 5 = - d$ .

Here, to simplify this equation, Take the variable in left hand side and the numbers in right hand side and do mathematical operations to get the solution.

$\begin{array}{l} 4 d - 5 = - d \\ 4 d + d = 5 \\ 5 d = 5 \\ d = \frac{5}{5} \\ d = 1 \end{array}$

. Check the equation to verify the equality

Since, the solution is $d = 1$ , and the equation is $4 d - 5 = - d$ .

So,

Put $d = 1$ in equation,

$\begin{array}{l} L e f t H a n d S i d e : \\ = 4 d - 5 \\ = 4 (1) - 5 \\ = 4 - 5 \\ = - 1 \\ R i g h t H a n d S i d e \\ = - d \\ = - 1 \end{array}$

It holds the equation.

So, the solution $d = 1$ correctly holds the equation.

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. Check your solution.
$4 d - 5 = - d$

Short Answer

Step by step solution

Step 1 . Apply the concept of Linear Equation

Step 2 . Find the value of d by solving the inequality

. Check the equation to verify the equality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Solve the equation. Check your solution. 4d−5=−d

Short Answer

Step by step solution

Step 1 . Apply the concept of Linear Equation

Step 2 . Find the value of d by solving the inequality

. Check the equation to verify the equality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Solve the equation. Check your solution.
$4 d - 5 = - d$