Question

A student claims that 3x + 2y = 5xy. Use a visual representation to show whether this is true or false

Answer 1

It is true, except when x = 2/5, since it is an asymptote.

Explanation:

3x=5xy-2y

3x=y(5x-2)

3x/5x-2=y

5x-2=0 -------> 5x=2 --------> x=2/5