Question

2/x-1 = 3/x+2 . The answer is is 7 however I do not understand how they got this answer >:(

Answer 1

Multiply throughout by x to get 2-x=3+2x => 3x=-1 => x=-1/3.

The answer is not 7.

Answer 2

The answer could be 7. 2/(x-1) = 3/(x+2), x = 7.
(2/x)-1 = (3/x)+2, x = -1/3.

Answer 3

for 2/(x-1) = 3/(x+2):

cross multiply:
2(x+2) = 3(x-1)
expand terms:
2x + 4 = 3x -3
add -3x -4 to both sides:
-x = -7
divide by -1:
x = 7

Answer 4

hello

Answer 5

Hahaha. Quantish. I did not notice that.