How do you solve #3/a=1/6#?

Answer 1

See the entire solution process below:

To solve this multiple each side of the equation by #color(red)(6)color(blue(a)# to isolate #a# and keep the equation balanced:

#color(red)(6)color(blue)(a) xx 3/a = color(red)(6)color(blue)(a) xx 1/6#

#color(red)(6)cancel(color(blue)(a)) xx 3/color(blue)(cancel(color(black)(a))) = cancel(color(red)(6))color(blue)(a) xx 1/color(red)(cancel(color(black)(6)))#

#color(red)(6) xx 3 = color(blue)(a) xx 1#

#18 = a#

#a = 18#

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Answer 2

Nathan Axel

To solve the equation 3/a = 1/6, you can cross-multiply. Multiply 3 by 6 to get 18, and multiply a by 1 to get a. Therefore, the solution is a = 18.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.