How do you combine #(3x-7)/(3x+5) + (4x-3)/(3x+5)#?

Answer 1

#(7x-10)/(3x+5)#

Both of fractions have #3x+5# as the denominator, so you are able to just add the numerators without having to touch the denominator:
#(3x-7+4x-3)/(3x+5)#

Now you can combine like terms in the numerator:

#(7x-10)/(3x+5)# to get your answer.
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Answer 2

To combine the given expressions, you need to have a common denominator. In this case, the common denominator is (3x+5).

To add the fractions, you add the numerators and keep the common denominator.

So, the combined expression is (3x-7 + 4x-3)/(3x+5).

Simplifying the numerator gives 7x - 10.

Therefore, the final expression is (7x - 10)/(3x+5).

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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.

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.

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.

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.

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