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Chapter 3: Q. 23 (page 127)

Solve the equation. Check your solution.

45-p=8

Short Answer

Expert verified

The solution for the equation 45−p=8is p=3.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

45−p=820−4p=8distributiveproperty20−20−4p=8−20subtract20fromeachside−4p=−12

02

– Solve for p

Now, divide both sides of the equation by -4.

−4p÷−4=−12÷−4p=3

Therefore, the solution of the equation is p=3.

03

– Check the solution 

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

45−p=8

Now, substitute p=3and check the result.

45−3=842=88=8

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

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