Solve for the specified variable.
-$\frac{1}{a}+\frac{1}{b}=c$ for $b$
A) $\frac{1}{\mathrm{ac}}$
B) $\frac{1}{\mathrm{C}}-\mathrm{a}$
C) ac $-\frac{1}{\mathrm{a}}$
D) $\frac{\mathrm{a}}{\mathrm{ac}-1}$

Question

Quizplus · Accepted Answer

To solve for $b$, start with the given equation $\frac{1}{a}+\frac{1}{b}=c$. Subtract $\frac{1}{a}$ from both sides to isolate $\frac{1}{b}$ on one side: $\frac{1}{b}=c-\frac{1}{a}$. To find $b$, take the reciprocal of both sides: $b=\frac{1}{c-\frac{1}{a}}$. To simplify, find a common denominator for the expression in the denominator: $b=\frac{1}{\frac{ac-1}{a}}$, which simplifies to $b=\frac{a}{ac-1}$, matching choice D.

Solve for the Specified Variable 1a+1b=c\frac{1}{a}+\frac{1}{b}=ca1​+b1​=c For bbb A) 1ac\frac{1}{\mathrm{ac}}ac1​ B) 1C−a\frac{1}{\mathrm{C}}-\mathrm{a}C1​−a C) Ac −1a-\frac{1}{\mathrm{a}}−a1​

Solve for the Specified Variable $\frac{1}{a}+\frac{1}{b}=c$ For $b$ A) $\frac{1}{\mathrm{ac}}$ B) $\frac{1}{\mathrm{C}}-\mathrm{a}$ C) Ac $-\frac{1}{\mathrm{a}}$