Question

What is the solution to the rational equation 3 over x - 2 = 2 over x -3

i just dont understand this one at all

Answer 1

3 = 2
-- --
x-2 x-3

we can get rid of the fractions by multiply each term by the lcm of x-2 and x-3 which is (x-2)(x-3)

3(x-2)(x-3) 2(x-2)(x-3)
-------- = ---------
(x-2) x-3

3(x-3) = 2(x-2)
3x -9 = 2x - 4

the rest is easy

Answer 2

add 3x to the other side to get x and then -4 to the other side -5
x=-5?

Answer 3

positive 5

Answer 4

right

Answer 5

you can solve any fractional equation by this method