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Chapter 3: Q47. (page 140)

Write the verbal sentence as an equation. Also, solve the equation

4 11.鈥�

Short Answer

Expert verified

The equation is 5+4x=7x+11 and the solution of inequality is x=-2

Step by step solution

01

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.

02

Step -2 – Find the inequality by explaining the statement

Here, The statement Five plus 4 times a number is equal to the sum of 7 times the number and 11.

From the above, Let the number be x.

Five plus 4 times a number = 5+4x, the sum of 7 times the number and 11 = 7x+11

Then, according to question the inequality is 5+4x=7x+11.

03

Step -3 – Finding the solution of equation for x

Now, The equation is 5+4x=7x+11

5+4x=7x+114x鈭�7x=11鈭�5鈭�3x=6x=6鈭�3x=鈭�2

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