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Chapter 3: Q. 1 (page 126)

Solve the equation. Check your solution.

3n-40+2n=15

Short Answer

Expert verified

The solution for the equation3n鈭�40+2n=15isn=11.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variables.

3n鈭�40+2n=153n鈭�40+2n+40=15+403n+2n=15+405n=55

02

– Solve for n

Now, divide both sides of the equation by 5.

5n5=555n=11

Therefore, the solution of the equation is n=11.

03

– Check the solution 

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

3n鈭�40+2n=15

Now, substitute n=11and check the result.

311鈭�40+211=1533鈭�40+22=1555鈭�40=1515=15

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

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