Question 1064576
x and y so that {{{x<y}}}.


The description becomes  {{{system(y-x=4,3y/x=4+5/x)}}}.


THE STEPS
 

You want to simplify the system or at least work with the fractional equation, and then use either substitution method or elimination method to find each variable.  The system itself as shown above is strictly the literal translation of the description, as clearly as that.


Just your ordinary Fractions skills to deal with that fractional second equation.
LCD is just x.
MULTIPLY left and right members by x.
{{{x(3y/x)=x(4+5/x)}}}


{{{3y=4x+5}}}


Simpler system is  {{{system(y-x=4,3y=4x+5)}}}.


{{{3y=4x+5}}}
{{{3y-4x=5}}}
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Equivalent simpler system,  {{{system(y-x=4,3y-4x=5)}}}


The First equation,  {{{y-x=4}}}

{{{y=4+x}}}

{{{y=x+4}}}

Substitute into the second equation.

{{{3(x+4)-4x=5}}}

{{{3x+12-4x=5}}}

{{{3x-4x+12=5}}}

{{{-x+12=5}}}

{{{x-12=-5}}}

{{{x=-5+12}}}

{{{highlight_green(x=7)}}}-----------Use this to find y.
Remember the step way above?   {{{y=x+4}}} ?



{{{highlight(system(x=7,y=11))}}}