gaspardomingo
Answered

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

Step by step please

Sagot :

absor201

Answer:

Solving the expression [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex] we get [tex]\mathbf{n=-\frac{36}{5} }[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex]

Solving:

[tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex]

First we convert mixed fraction into improper fraction

[tex]\frac{3}{4}n=-\frac{7}{4}n-18[/tex]

Now adding 7/4 n on both sides

[tex]\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[/tex]

Now, taking LCM on left side

LCM of 4 and 4 is 4

[tex]\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[/tex]

Now, multiply both sides by 4/10

[tex]\frac{10n}{4}\times \frac{4}{10} =-18\times \frac{4}{10}\\n=-\frac{36}{5}[/tex]

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

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