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solve for x. really confusing algebra question?
4x/(x-3) = 2+(12/(x-3))
please solve for x. i can't find the answer. i got like a lot of answers but none of them work when i checked it
2 Answers
- Cocia Ŵyn bac ypLv 71 decade agoFavorite Answer
Multiply everything by (x-3)
4x(x-3)/(x-3) = 2(x -3) + 12(x-3)/(x-3)...now cancel and open the brackets
4x = 2x -6 + 12
4x - 2x = -6 + 12
2x = 6
x = 3
Source(s): Maths A level. - 1 decade ago
4x/(x-3) = 2+(12/(x-3))
4x = 2(x-3) + 12 (after multiplying both sides by x-3)
4x = 2x - 6 + 12
2x = 6
x = 3
Now when you plug 3 back into the equation, you find that you get zero for the denominator, which yields infinity.
More specifically 12/0 = 2+12/0 or Infinity = 2 + Infinity
While the above statement is true, inifinity is not an actual number, but only conceptual, so there is no actual solution to the equation yielding a real number equal to a real number.
