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Chapter 3: Q10. (page 127)

Describe and correct the error in solving the following equation:−2(5−n)=2

Short Answer

Expert verified

The correct solution will be,

−2(5−n)=2−10+2n=2−10+2n+10=2+102n=12n=6

Step by step solution

01

– Given information.

The given equation is:−2(5−n)=2

02

– Write the incorrect solution.

The incorrect solution is:

−2(5−n)=2−10−2n=2−10−2n+10=2+10−2n=12n=−6

03

– Describe the correct solution.

The error in solving the equation is in the first step where distributive property is used,

−10−2n=2

Here, when –2 is multiplied with –n, the sign of the product changes since, they have the same sign (negative).

Hence, the correct solution will be,

−2(5−n)=2−10+2n=2−10+2n+10=2+102n=12n=6

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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.
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Which property will use the inequality -7y≤49 ?

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-11y+32=104-5y

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