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Question

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The equation is 1/a= 1/b + 1/c. Solve the equation in terms of a. Your final answer should have the variable a isolated on one side and the rest of the variables on the other side.

Answer 1

1/a = 1/b + 1/c

**divide all sides by 1**

idk how to explain this...

all i know is that a=b + c because a,b,and c all have the same # (1) in front

Answer 2

LCD is abc so multiply it out to get

bc = ac + ab

bc = a(c + b)

bc/(c+b) = a

Have a good day!

Answer 3

i know u dont want want to here this but DO IT YOURSELF

Answer 4

take the reciprocal of both sides... a = 1/(1/b + 1/c)

combine the fractions .... a = 1/(c/bc + b/bc) = 1/( (c+b)/bc )

simplify.... a = bc/(c+b)

Answer 5

1/a = 1/b + 1/c

thus, using common denominators, 1/a = (1xc + 1xb)/(bc)

thus, the {inverse of 1/a} = a = (bc)/(c + b)

the answer is (bc)/(c + b)