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Chapter 3: Q. 2C (page 120)

Solve the equation. Check your solution.

3n+8=2

Short Answer

Expert verified

The solution for the equation 3n+8=2isn=鈭�2n=鈭�2.

Step by step solution

01

– Separate the variables and constants

Write the original equation and separate the variables.

3n+8=23n=2鈭�83n=鈭�6

02

– Solve for n

Divide both sides of the equation3n=鈭�6 by 3.

3n3=鈭�63n=鈭�2

3n3=鈭�63n=鈭�2

Therefore, the solution of the equation isn=鈭�2n=鈭�2.

03

– Check the solution 

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

3n+8=23n+8=2

Now, substitute n=鈭�2and check the result.

3(鈭�2)+8=23(鈭�2)=2鈭�83(鈭�2)=鈭�6鈭�6=鈭�6

3(鈭�2)+8=23(鈭�2)=2鈭�83(鈭�2)=鈭�6鈭�6=鈭�6

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

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