Question

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

Answer

v=(21*IM)/n

Solution


Remove parentheses.
\[v\imath \times \frac{n}{7}=-3\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{v\imath n}{7}=-3\]
Multiply both sides by \(7\).
\[v\imath n=-3\times 7\]
Simplify  \(3\times 7\)  to  \(21\).
\[v\imath n=-21\]
Divide both sides by \(\imath \).
\[vn=-\frac{21}{\imath }\]
Rationalize the denominator: \(\frac{21}{\imath } \cdot \frac{\imath }{\imath }=-21\imath \).
\[vn=-(-21\imath )\]
Remove parentheses.
\[vn=21\imath \]
Divide both sides by \(n\).
\[v=\frac{21\imath }{n}\]