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Chapter 3: Q. 22 (page 127)

Solve the equation. Check your solution.

-52w+1=25

Short Answer

Expert verified

The solution for the equation鈭�52w+1=25isw=鈭�3.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

鈭�52w+1=25鈭�10w鈭�5=25distributiveproperty鈭�10w鈭�5+5=25+5add5toeachside鈭�10w=30

02

– Solve for w

Now, divide both sides of the equation by 10.

鈭�10w10=3010鈭�w=3w=鈭�3

Therefore, the solution of the equation is w=鈭�3.

03

– Check the solution 

To check the solution, write the original equation and substitute the value of w.

12=3m鈭�17

Now, substitute w=鈭�3and check the result.

鈭�52鈭�3+1=25鈭�5鈭�6+1=25鈭�5鈭�5=2525=25

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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