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How do you simplify #4/(x-5)= (x-2)/(x-5)#?

Answer 1

Hazel Anglin

#x=6#

Since the denominators of the fraction are equal, we can multiply by #(x-5)# on both sides to end up with:

#4=x-2#

Then, we add 2 to both sides to isolate x and end up with:

#x=6#.

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Answer 2

Jameson Allen

To simplify the equation 4/(x-5) = (x-2)/(x-5), we can start by multiplying both sides of the equation by (x-5) to eliminate the denominators. This gives us 4 = x-2. Next, we can isolate the variable x by adding 2 to both sides of the equation, resulting in 6 = x. Therefore, the simplified form of 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.