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How do you solve equations with rational expressions #1/x+2/x=10#?

Answer 1

Eva Abramson

#x = 3/10#

#1/x + 2/x = 10#

First, let's get rid of the fractions by multiplying everything by #color(blue)x#: #x(1/x + 2/x = 10)#

#1 + 2 = 10x#

Simplify the left hand side: #3 = 10x#

Now to solve for #x#, divide both sides by #color(blue)10#: #3/color(blue)10 = (10x)/color(blue)10#

Therefore, #3/10 = x#

#x = 3/10#

Hope this helps!

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Answer 2

Eva Adamson

To solve the equation 1/x + 2/x = 10, we can combine the rational expressions by finding a common denominator. The common denominator in this case is x.

Multiplying each term by x, we get: 1 + 2 = 10x.

Simplifying the left side, we have: 3 = 10x.

To isolate x, we divide both sides of the equation by 10: 3/10 = x.

Therefore, the solution to the equation is x = 3/10.

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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.