Chapter 3: Q3. (page 139)

Write the verbal sentence as an equation. Also, solve the equation
“Three more than $4$ times a number is equal to $9$ less than twice the number.”

Short Answer

Expert verified

The equation is $3 + 4 x = 2 x - 9$ and the solution of inequality is $x = - 6$ .

Step by step solution

Step 1. Apply the concept of linear equations

In this, simply use the concept of understanding the problem and their words very carefully and also take a suitable variable to make equation and also do various mathematical operation to get the solution.

Step 2. Find the inequality by explaining the statement

Here, the statement Three more than $4$ times a number is equal to $9$ less than twice the number

From the above, Let the number be x.

Then, according to statement of question, the inequality is $3 + 4 x = 2 x - 9$ .

Step 3. Finding the solution of equation for x

Now, the inequality is $3 + 4 x = 2 x - 9$ .

Simply Take the variable and constant in separate side & do addition then division

$\begin{array}{l} 3 + 4 x = 2 x - 9 \\ 4 x - 2 x = - 9 - 3 \\ 2 x = - 12 \\ x = \frac{- 12}{2} \\ x = - 6 \end{array}$

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Write the verbal sentence as an equation. Also, solve the equation
“Three more than $4$ times a number is equal to $9$ less than twice the number.”

Short Answer

Step by step solution

Step 1. Apply the concept of linear equations

Step 2. Find the inequality by explaining the statement

Step 3. Finding the solution of equation for x

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Write the verbal sentence as an equation. Also, solve the equation“Three more than 4 times a number is equal to 9 less than twice the number.”

Short Answer

Step by step solution

Step 1. Apply the concept of linear equations

Step 2. Find the inequality by explaining the statement

Step 3. Finding the solution of equation for x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Mechanics Maths

Probability and Statistics

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Write the verbal sentence as an equation. Also, solve the equation
“Three more than $4$ times a number is equal to $9$ less than twice the number.”