Solve the equation for the indicated variable.
-$I = \frac { n E } { n r + R } \quad \text { for } n$
A) $n = \frac { I R } { I r - E }$
B) $n = \operatorname { IR } ( \operatorname { Ir } - \mathrm { E } )$
C) $\mathrm { n } = \frac { \mathrm { IR } } { \mathrm { E } - \mathrm { Ir } }$
D) $\mathrm { n } = \frac { \mathrm { R } } { \mathrm { E } - \mathrm { Ir } }$

Question

Quizplus · Accepted Answer

To solve for $n$, we start with the given equation $I = \frac { n E } { n r + R }$. Multiplying both sides by $nr + R$ to eliminate the denominator gives $I(nr + R) = nE$. Distributing $I$ gives $Inr + IR = nE$. Rearranging to isolate terms with $n$ on one side gives $Inr - nE = -IR$. Factoring out $n$ from the left side gives $n(Ir - E) = -IR$. Finally, solving for $n$ by dividing both sides by $Ir - E$ (and changing signs) gives $n = \frac{IR}{E - Ir}$.

Solve the Equation for the Indicated Variable I=nEnr+R for nI = \frac { n E } { n r + R } \quad \text { for } nI=nr+RnE​ for n

Solve the Equation for the Indicated Variable $I = \frac { n E } { n r + R } \quad \text { for } n$