Question 766098
y=-5/x
5x-y=-10

5x-(-5/x) =-10

multiply equation by x

{{{5x^2+5=-10x}}}

{{{5x^2+10x+5=0}}}
/5
{{{x^2+2x+1=0}}}

{{{(x+1)^2=0}}}

(x+1)=0
x=-1

plug x 
y=-5/x
y=-5/-1
y=5

x=-1,y=5