Question 1049120
Try just solving through substitution.  Take one equation and solve for one variable.  Substitute for this variable in the other equation.  Solve for the single variable's value.  Now find the value of the other variable, either equation.


Here is a start.
{{{2/x=5/y+5}}}
{{{2/x=5/y+5y/y}}}
{{{2/x=(5+5y)/y}}}
{{{x/2=y/(5y+5)}}}
{{{x=(2y)/(5y+5)}}}
You continue the necessary steps for the process..