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Chapter 3: Q19. (page 133)

Solve the equation. Check your solution.

72p+1=14p+7

Short Answer

Expert verified

The solution for the equation 72p+1=14p+7 is all real numbers.

Step by step solution

01

– Use distributive property

The distributive property is given as ab+c=ab+ac.

The given equation is 72p+1=14p+7.

So,

72p+1=14p+714p+7=14p+7Usedistributiveproperty

02

– Combine the like terms

Combine the like terms.

14p鈭�14p+7=14p鈭�14p+7subtract14pfrombothsides7鈭�7=0+7鈭�7subtract7frombothsides0=0simplify

Since 0=0 is true, the solution of the equation are all real numbers.

03

– Check the solution

To check the solution, choose any real number as a value of p and substitute in the equation 72p+1=14p+7.

Choose p=2.

Then, substitute p=2 in 72p+1=14p+7 and check the result.

72脳2+1=14脳2+774+1=28+77脳5=28+735=35

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

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