Question 250802
y^2+x^2=61                 
 -x+y=1
.
y=x+1  
(x+1)^2+x^2=61
x^2+2x+1+x^2=61
2x^2+2x-60=0
x^2+x-30=0
(x+6)(x-5)=0
x=-6, y=-5
x=5, y=6  
.
Ed