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Chapter 2: Q. 508 (page 215)

In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution.

17y鈭�34鈭�2y=11y鈭�1+12y鈭�1

Short Answer

Expert verified

This is an identity. This is true for all y.

Step by step solution

01

 Given     

The given equation is 17y鈭�34鈭�2y=11y鈭�1+12y鈭�1

02

 To find    

We have to classify each equation as a conditional equation, an identity, or a contradiction and then state the solution.

03

 Calculation   

We simplify both sides:

17y鈭�34鈭�2y=11y鈭�1+12y鈭�117y-12+6y=11y-11+12y-123y-12=23y-12(Alwaystrue)

Since both sides are the same, this is an identity. This is true for all y.

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