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How do you solve # 5/x + 6/x = 12#?

Answer 1

#x = 11/12#

Verify that the denominator of each term in the equation, including the total, is the same.

12 as a fraction is #12/1#

So what we have is: #5/x + 6/x = 12/1#

We need to find the LCD (least common denominator), which in this case would be #x#. Both #5/x# and #6/x# have the common denominator of #x# but #12/1# doesn't. To make sure that it does have the common denominator of #x#, we need to multiply both the denominator and the numerator by #x# (#{12 times x}/{1 times x} = (12x)/x#).

Now we have: #5/x + 6/x = (12x)/x#

Since all of the terms have a common denominator, we can just simply evaluate for what #x# is equal to. #5 + 6 = 12x# #11 = 12x# #11/12 = x#

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Answer 2

Hazel Anglin

To solve the equation 5/x + 6/x = 12, you can combine the fractions by finding a common denominator. The common denominator in this case is x. Multiplying each term by x gives you 5 + 6 = 12x. Simplifying further, you have 11 = 12x. To isolate x, divide both sides of the equation by 12. Thus, x = 11/12.

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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.