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# Yet another Algebra Query... watch

1. I really do not get this algebraic equation:

2/2x-1 -6/x+1 =11

because I tried to solve it and have got this far:

2(x+1)-6(2x-1)-11(2x-1)(x+1)

=2x+2-12x-6-22x^2-11x-11

= -22x^2-21x-15=0

Although my text book quotes that the answer is 22x^2+21X-19=0. Although I have no idea where they got the -19 from since I got -15. Maybe there is a mistake in my algebra.

2. 2+6=8 (LHS) -11 on RHS
= +19 on LHS.....

i think your mistake is in the -6, where it's +6 (-ve * -ve)
3. (Original post by Sophie Maywood)
I really do not get this algebraic equation:

2/2x-1 -6/x+1 =11

because I tried to solve it and have got this far:

2(x+1)-6(2x-1)-11(2x-1)(x+1)

=2x+2-12x-6-22x^2-11x-11

= -22x^2-21x-15=0

Although my text book quotes that the answer is 22x^2+21X-19=0. Although I have no idea where they got the -19 from since I got -15. Maybe there is a mistake in my algebra.

Cross multiply

2x + 2 -12x + 6 = 11(2x^2 -x +2x -1)

-10x + 8 = 22x^2 - 11x +22x - 11

22x^2 + 21x -19 = 0

QED
4. (Original post by Sophie Maywood)
I really do not get this algebraic equation:

2/2x-1 -6/x+1 =11

because I tried to solve it and have got this far:

2(x+1)-6(2x-1)-11(2x-1)(x+1)

=2x+2-12x-6-22x^2-11x-11

= -22x^2-21x-15=0

Although my text book quotes that the answer is 22x^2+21X-19=0. Although I have no idea where they got the -19 from since I got -15. Maybe there is a mistake in my algebra.

First: Use LaTeX
Second: -11-6 isn't -15
Third: Move everything to the other side.
5. Why do you move everything to the other side?
6. (Original post by Sophie Maywood)
Why do you move everything to the other side?
Because the answer you have is the negative of the answer in the book. Either move to the other side or multiply by minus 1. Does the same job.
7. What do you mean "The answer you have is the negative of the answer in the book."

Are you suggesting that that my answer is wrong and due to this I multiply everthing by -1

Please clarify, I;m still stuck- I don't get why you move everything to the other side or multiply by -1

Thanks
8. In essence - when you were solving you moved everything to the left hand side (another point, please please please always put in equals signs, makes life so much easier) and the text book moved everything to the right.

EDIT: Just noticed that you haven't expanded -6(2x-1) correctly. -6x-1 is 6, not -6
EDIT2: And the final bracket. Your minus signs are all over the place. -11(2x-1)(x+1) = -22x2+11x+11 not -22x2-11x-11

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