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Chapter 3: Q24. (page 133)

Write the verbal sentence as an equation. Then solve the equation.

Three less than 11 times a number is equal to 9 plus 5 times the number.

Short Answer

Expert verified

The required equation is 11x-3=9+5x and the solution is x=2

Step by step solution

01

Step-1 – Given

Three less than 11 times a number is equal to 9 plus 5 times the number.

02

Step-2 – To determine

We have to write the equation by writing verbal sentence as equation. Then we solve the equation.

03

Step-3 – Calculation

Let the unknown number is x

So, three less than 11 times a number = 11x-3

9 plus 5 times the number = 9+5x

According to the question 11x-3=9+5x

Now we solve the equation,

11x鈭�3=9+5xwritetheoriginalequation11x鈭�3+3=9+3+5xadd3tobothsides11x=12+5xsimplify11x鈭�5x=12+5x鈭�5xsubtract5xfrombothsides6x=12simplify6x6=126divideeachsideby6x=2simplify

Therefore, the solution of the equation 11x-3=9+5x is x=2

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