Solve 1 a 1 b 1 c


Asked by maham237 @ in Mathematics viewed by 290 People


Solve for c; 1/a-1/b-1/c-=4

Answered by maham237 @



a\ne0,\ b\neq0,\ c\neq0\\\\\dfrac{1}{a}-\dfrac{1}{b}-\dfrac{1}{c}=4\qquad\text{multiply both sides by ab}\\\\\not a^1b\cdot\dfrac{1}{\not a_1}-a\not b^1\cdot\dfrac{1}{\not b_1}-ab\cdot\dfrac{1}{c}=4ab\\\\b-a-\dfrac{ab}{c}=4ab\qquad\text{subtract b from both sides}\\\\-a-\dfrac{ab}{c}=4ab-b\qquad\text{add a to both sides}\\\\-\dfrac{ab}{c}=4ab+a-b\qquad\text{change the signs}\\\\\dfrac{ab}{c}=b-4ab-a\qquad\text{reciprocal of both sides}

\dfrac{c}{ab}=\dfrac{1}{b-4ab-a}\qquad\text{multiply both sides by ab}\\\\\boxed{c=\dfrac{ab}{b-4ab-a}}


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