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Chapter 3: Q48. (page 140)

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

鈥淓ight less than 3 times a number is equal to -3 plus twice the number.鈥�

Short Answer

Expert verified

The equation is 3x-8=-3+2x and the solution of inequality is x=5.

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 Eight less than 3times a number is equal to -3plus twice the number.

From the above, Let the number be x.

Eight less than 3times a number = 3x-8, -3plus twice the number.

= -3+2x

Then, according to question the inequality is 3x-8=-3+2x.

03

Step -3 – Finding the solution of equation for x

Now, The equation is 3x-8=-3+2x.

3x鈭�8=鈭�3+2x3x鈭�2x=鈭�3+8x=5

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Most popular questions from this chapter

The total cost of repairing a car is the sum of the amount paid for parts and the amount paid for Labor. You paid \(78 for parts and \)45 for each hour of Labor. The total cost to repair the car was $168. How many hours did it take to repair the car?

  1. Copy and complete the verbal model.
    Total cost= _____+Cost for each hour of Labor _____
  2. Let h represent the number of hours spent on Labor. Write an equation based on your verbal model.
  3. Solve the equation to find how many hours it took to repair the car.

Solve the equation. Check your solution.

3(x+1)=6

Shopping You spend $60 on clothes and buy 3 DVD movies. Your friend spends nothing on clothes and buy 8 DVD movies. All the DVDs cost the same amount. How much does each DVD cost?

Solve the equation. Check your solution.

3x+6=3x+2

Solve the equation. Check your solution.-40-(2x+5)=-61
See all solutions

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