Question

HELP?!

Equations With Rational Expressions;

1. 5/2y+6 + 1/y-2 = 3/y+3

2. 5/a-5 - 1 = a/a-5

3. 2/x^2-x-12 - 6/x+4 = 2/x-3

4. 65-n/n = 4 + 5/n

5. a/ a-2 + 2/3 = 2/a-2

6. x-1/3 + x+2/4 =1/6

7. 5/3x - 1/9 = 1/x

8. 3/3x-2 = 4/2x+1

9. 3/x+3 - 1/x-2 = 5/2x+6

Answer 1

The way you typed your equations makes them much too ambiguous.
e.g. #2
is it 5/a - 5 - 1 = a/a - 5 the way your typed it, or is it
5/(a-5) - 1 = a/(a-5)

I supect it is the latter.
so multiply each term by the LCD, which would be a-5 to get
5 - 1(a-5) = a
5 - a + 5 = a
-2a =-10
a = -5

clarify the others before I proceed
Try these yourself, remember by multiplying by the LCD, all fractions will disappear.

Answer 2

1. 5/(2y+6) + 1/(y-2) = 3/(y+3)

2. 5/(a-5) - 1 = a/(a-5)

3. 2/(x^2)-x-12 - 6/(x+4) = 2/(x-3)

4. 65-n/(n) = 4 + 5/(n)

5. a/ (a-2) + 2/(3) = 2/(a-2)

6. x-1/(3) + x+2/(4) =1/(6)

7. 5/(3x) - 1/(9) = 1/(x)

8. 3/(3x-2) = 4/(2x+1)

9. 3/(x+3) - 1/(x-2) = 5/(2x+6)

* " / " That Is Suppose to be a fraction line.

Answer 3

some are still ambigious,
e.g. #4 and #6
is #6 (x-1)/3 + (x+2)/4 = 1/6 ???
there is no need to place brackets around the 3 or the 4, but they are needed at the top.

(x-1)/3 + (x+2)/4 = 1/6
multiply each term by 12, which is the LCD for 3,4, and 6

4(x-1) + 3(x+2) = 2
4x-4+3x+6=2
7x = 0
x = 0

try some of the others, let me know what you got