Question

x^2+y^2=26
y-x=-6
Solving system of non linear equations

Please Help!?!?!?!?!!!!

Answer 1

\[x^2+y^2=26\]
\[y-x=-6\quad\Rightarrow\quad y=x-6\]
\[x^2+(x-6)^2=26\,,\,x^2+x^2-12x+36=26\,,\,2(x^2-6x+5)=0\]
\[2(x-1)(x-5)=0\quad\Rightarrow\quad (x,y)=\{(1,-5),(5,-1)\}\]