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How do you simplify #3/(x+2)=2/(x+5)#?

Answer 1

Abigail Allen

#x=-11#

Given #color(white)("XXX")3/(x+2)=2/(x+5)#

If we multiply both sides by #[(x+2)(x+5)]#, we get #color(white)("XXX")3(x+5) =2(x+2)#

#rarrcolor(white)("XXX")3x+15=2x+4#

#rarrcolor(white)("XXX")x=-11#

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Answer 2

Eva Adamson

To simplify the equation 3/(x+2) = 2/(x+5), we can cross-multiply. This gives us 3(x+5) = 2(x+2). Expanding both sides of the equation, we get 3x + 15 = 2x + 4. Simplifying further, we subtract 2x from both sides to get x + 15 = 4. Finally, subtracting 15 from both sides gives us x = -11.

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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.