Question 86535
{{{3/x=15/x}}} Start with the given equation


{{{3x=15x}}} Cross multiply


{{{0=15x-3x}}} Subtract 3x from both sides


{{{0=12x}}} Combine like terms


{{{0=x}}} Divide both sides by 12


So a possible answer is {{{x=0}}}


Check:

Plug in x=0


{{{3/0=15/0}}}


Since dividing by zero is not possible, the solution {{{x=0}}} is not valid. So there are no solutions


Notice when we graph the two equations {{{y=3/x}}} and {{{y=15/x}}}


we can see that the graphs never intersect

{{{ graph( 500, 500, -10, 10, -10, 10, 3/x,15/x) }}}