Question

3/4n=-1 3/4n-18 Step by step please

Answer 1

Answer:

Solving the expression $\frac{3}{4}n=-1\frac{3}{4}n-18$ we get $\mathbf{n=-\frac{36}{5} }$

Step-by-step explanation:

We need to solve the expression: $\frac{3}{4}n=-1\frac{3}{4}n-18$

Solving:

$\frac{3}{4}n=-1\frac{3}{4}n-18$

First we convert mixed fraction into improper fraction

$\frac{3}{4}n=-\frac{7}{4}n-18$

Now adding 7/4 n on both sides

$\frac{3}{4}n+\frac{7}{4}n=-\frac{7}{4}n-18+\frac{7}{4}n\\\frac{3}{4}n+\frac{7}{4}n=-18$

Now, taking LCM on left side

LCM of 4 and 4 is 4

$\frac{3}{4}n+\frac{7}{4}n=-18\\\frac{3*1n+7*1n}{4}=-18\\\frac{3n+7n}{4}=-18\\\frac{10n}{4}=-18$

Now, multiply both sides by 4/10

$\frac{10n}{4}\times \frac{4}{10} =-18\times \frac{4}{10}\\n=-\frac{36}{5}$

So, solving the expression $\frac{3}{4}n=-1\frac{3}{4}n-18$ we get $\mathbf{n=-\frac{36}{5} }$