Х-у=1 ху=6

Question

Х-у=1 ху=6

Answer 1

{х-у=1, ху=6}

{x=y+1, (y+1)y=6}

{x=y+1, y^2+y-6=0}

{x=y+1, (y+3)(y-2)=0}

{x=y+1, y1=-3; y2=2}

{x1=-3+1=-2; x2=2+1=3,  y1=-3; y2=2}