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Chapter 10: Q76. (page 530)

Solve the equation 15p+p=16. Check your solution.

Short Answer

Expert verified

The solution for the equation is p=1,15.

Step by step solution

01

Step 1. Write down the given equation.

The given equation is 15p+p=16.

02

Step 2. Simplify the equation.

The given equation 15p+p=16is solved as:

15p+p=16....Given15+p2=16pp2鈭�16p+15=0p鈭�15p鈭�1=0p=1,15

03

Step 3. Verify the result for obtained value.

Plugging p=1,15in given equation and verify the result.

15p+p=16....Given151+1=16....Forp=116=16....Trueforp=115p+p=16....Given1515+15=16....Forp=1516=16....Trueforp=15

Hence the solution is verified for p=1,15.

04

Step 4. Conclusion.

The solution for the given equation is p=1,15.

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