SOLUTION: Hi, I need help solving three questions. They're given as homework and I really don't know how to solve them. I don't have answers to check my problem so I don't know if I'm doi

Question 942215: Hi,
I need help solving three questions. They're given as homework and I really don't know how to solve them. I don't have answers to check my problem so I don't know if I'm doing it right. I would be grateful if you could help me to solve the questions (with step-by-step instructions)
I have uploaded the pictures on imgur: http://imgur.com/a/wIYPT
Thank you so much.

Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Three equations to solve, too many for one posting, but the skills to use are very much the same.

The second equation:
(x+1)/(2-x)+(x+2)/(x+3)-(4x+7)/(6-x-x^2)=0, in pure text, appearing as rendered to
.

FRACTION SKILLS! A few simple algebraic tricks, too.
The partial fraction on the right location can be adjusted to an ADDITION if you multiply it by .

Some factoring:

Fix the left position rational expression also...
, both those tricks not necessary but can make some of the work a little more comfortable.

LOWEST COMMON DENOMINATOR - Typical Fraction Skill -
Multiply the left member and right member by (x-2)(x+3) and simplify.
The left member is a sum of rational expressions, and the right member is 0. Not showing this actual multiplication step, but showing just the first result is this:

You should be able to handle the rest. You will get a quadratic equation to finish either by factoring or by general solution to quadratic equation.

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