Solve for the indicated variable.
-$\frac { 1 } { A } = \frac { 1 } { B } + \frac { 1 } { C }$, for $A$

Question

Quizplus · Accepted Answer

To solve for $A$, we start with the given equation $\frac { 1 } { A } = \frac { 1 } { B } + \frac { 1 } { C }$. We find a common denominator for the right side, which is $BC$, so we rewrite the equation as $\frac { 1 } { A } = \frac { C } { BC } + \frac { B } { BC } = \frac { B + C } { BC }$. Taking the reciprocal of both sides gives $A = \frac { BC } { B + C }$.

Solve for the Indicated Variable 1A=1B+1C\frac { 1 } { A } = \frac { 1 } { B } + \frac { 1 } { C }A1​=B1​+C1​

Solve for the Indicated Variable $\frac { 1 } { A } = \frac { 1 } { B } + \frac { 1 } { C }$