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Chapter 10: Q18. (page 528)

Solve the equation 92y-1=27y. Check your solution.

Short Answer

Expert verified

The solution for the equation isy=2.

Step by step solution

01

Step 1. Write down the given expression.

The given equation is 92y-1=27y.

02

Step 2. Simplify the equation.

The given equation 92y-1=27yis solved as:

92y鈭�1=27y....Given322y鈭�1=33y34y鈭�2=33y4y鈭�2=3yy=2

03

Step 3. Verify the result for obtained value.

Plugging y=2in given equation and verify the result.

92y鈭�1=27y....Given922鈭�1=272....Pluggingy=293=272729=729....True

Hence the solution is verified for y=2.

04

Step 4. Conclusion.

The solution for the given equation is y=2.

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