Question

Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four becomes unsolvable. Kelly explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to Kelly how the equation is still solvable and explain your reasoning.

Answer 1

The equation is 1/2+3/x=3/4, it is still solvable
the equivalent of the equation is (1.x+2.3)/2.x = 3/4, or (x+ 6)/2.x=3/4, this last can be solved as follow: 4.(x+ 6) = 2x.3, 4x+ 24 = 6x, so 24=6x-4x=2x, and when 2x= 24 , it means x=24/2 =12, finally the equation is solvable because x=12 is a solution