41. Solve for $$ a $$ in terms of the other variables: $$ \frac{1}{A}=\frac{1}{a}+\frac{1}{b} $$

Question

UpStudy AI · Accepted Answer

Solve the equation $$ \frac{1}{A}=\frac{1}{a}+\frac{1}{b} $$.
Solve the equation by following steps:
- step0: Solve for $$a$$:
  $$\frac{1}{A}=\frac{1}{a}+\frac{1}{b}$$
- step1: Swap the sides:
  $$\frac{1}{a}+\frac{1}{b}=\frac{1}{A}$$
- step2: Move the expression to the right side:
  $$\frac{1}{a}=\frac{1}{A}-\frac{1}{b}$$
- step3: Subtract the terms:
  $$\frac{1}{a}=\frac{b-A}{Ab}$$
- step4: Rewrite the expression:
  $$a=\frac{Ab}{b-A}$$
The solution for $$ a $$ in terms of the other variables is $$ a = \frac{Ab}{b-A} $$.
$$ a = \frac{Ab}{b-A} $$

Solve for in terms of the other variables:

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Algebra Questions