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How do you simplify #- 5/6 - 1/x = -2/3#?

Answer 1

#x=-6#

First, let's get rid of all those denominators by multiplying both sides by #6x# #6x(-5/6-1/x)=6x*-2/3# #-5x-6=-4x# Now it's just a matter of rearranging #-6=x#

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Answer 2

Julia Adams

To simplify the equation -5/6 - 1/x = -2/3, we can start by finding a common denominator for the fractions. The common denominator for 6 and x is 6x. Multiplying each term by 6x, we get -5x - 6 = -4x. Next, we can combine like terms by adding 4x to both sides of the equation, resulting in -x - 6 = 0. Finally, we can isolate x by adding 6 to both sides, giving us -x = 6. To solve for x, we multiply both sides by -1, which gives x = -6. Therefore, the simplified solution to the equation is x = -6.

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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.