2007-07-13 02:48:38 · 3 answers · asked by lindasalicea 1 in Science & Mathematics ➔ Mathematics
I have no idea what you're asking because you didn't give us any parentheses. I'll guess, but if it's wrong, you'll need to repost the question.
[x/(x-9)] - 4 = 9/(x-9)
[x / (x-9)] - [9 / (x-9)] = 4
(x - 9) / (x - 9) = 4
x - 9 = 4(x - 9)
x - 9 = 4x - 36
-3x = -27
x = 9
However, x can NOT equal 9 because then the original expression would be undefined (with 0 in the denominator).
Therefore, there is no solution.
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Note: One could have also determined there was "no solution" at this point:
(x - 9) / (x - 9) = 4
The left side reduces to 1, so you have
1 = 4, which is false. That means there is no solution.
2007-07-13 02:58:40 · answer #1 · answered by Mathematica 7 · 0⤊ 0⤋
x/(x-9) - 4 = 9/x-9
Multiply both sides of the equation by (x-9) to clear the fractions:
x - 4(x-9) = 9
x - 4x + 36 = 9
-3x = -27
x = (-27)/(-3)
x = 9
2007-07-13 02:57:31 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Reading question as:-
x / (x - 9) - 4 = 9 / (x - 9)
x - 4(x - 9) = 9
x - 4x + 36 = 9
- 3x = - 27
x = 9
PS: It is a good idea to use brackets to avoid confusion.
2007-07-13 07:53:48 · answer #3 · answered by Como 7 · 0⤊ 0⤋