solving a rational equation intermediate algebra

[pineapplemango]

how do I solve these questions?

Comments

[yady]

So, what is your question?

[pineapplemango]

after clearing the fraction, I don't know which numbers to cancel out/ move to the other side.

[yady]

Can you show what you did so far, step by step? (Also a tip: When writing fractions with denominators like x-1, use parentheses. Your first equation looks like you mean 5/x+2/x+1=2, which is probably not what you mean.)

[just_you_wait]

Once you multiply through by each denominator, move all your x terms to one side and all your non-x terms to the other side. Note the limitations on the domain of x.

[korean_guy_01]

When you have a common denominator, you can combine the numerators.

A guaranteed common denominator if you have two denominators A & B is AB (A times B).

In problem #1, A = x & B = x-1 (presumably). Remember if you multiply one part of a fraction by a factor then the other part must be multiplied by the same factor.