Question

Solve |4n−15|=|n|.

The solutions are n=
and n=
.

Answer 1

n=3 and n=5

Explanation:

|4n−15|=|n|

we know either

4n-15=-n or 4n=15=n

4n+n=15 4n-n=15

5n=15 3n=15

n=15/5=3 n=15/3=5

Answer 2

n=3 n=5

Explanation:

|4n−15|=|n|

Positive

4n−15=n

Subtract 4n from each side

-15 = -3n

Divide by -3

-15/-3 = n

5 = n

negative

4n -15 = -n

Subtract 4n from each side

-15 = -5n

Divide by -5

-15/-5 = n

3 = n