Question

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

Answer 1

4/(5+3/x)= 1/2  t 8 = 5 +3/x  8x = 5x + 3 or x = 1
i do not confirm that this is correct by the way

Answer 2

You need to solve the equation.  IF x = 0 then and only then is it unsolvable.

4/5 + 3/x = 1/2 - setup
8x + 30 = 5x
3x = -30
x = -10

Since x isn't 0 then the answer is valid