Question

3/4n=-1 3/4n-18

Step by step please

Answer 1

Solving the expression
`(3)/(4)n=-1(3)/(4)n-18` we get
`\mathbf{n=-(36)/(5) }`

Explanation:

We need to solve the expression:
`(3)/(4)n=-1(3)/(4)n-18`

Solving:

`(3)/(4)n=-1(3)/(4)n-18`

First we convert mixed fraction into improper fraction

`(3)/(4)n=-(7)/(4)n-18`

Now adding 7/4 n on both sides

`(3)/(4)n+(7)/(4)n=-(7)/(4)n-18+(7)/(4)n\\(3)/(4)n+(7)/(4)n=-18`

Now, taking LCM on left side

LCM of 4 and 4 is 4

`(3)/(4)n+(7)/(4)n=-18\\(3*1n+7*1n)/(4)=-18\\(3n+7n)/(4)=-18\\(10n)/(4)=-18`

Now, multiply both sides by 4/10

`(10n)/(4)* (4)/(10) =-18* (4)/(10)\\n=-(36)/(5)`

So, solving the expression
`(3)/(4)n=-1(3)/(4)n-18` we get
`\mathbf{n=-(36)/(5) }`