Question

Решить уравнение

$left { {{2 sqrt{x+1}-3 sqrt{y} =-1} atop { sqrt{x+1}+2 sqrt{y}=3}} right.$

Answer 1

$u=sqrt{x+1},; ; v=sqrt{y},; ; ; ; x geq -1,; y geq 0\\ left { {{2u-3v=-1} atop {u+2v=3|cdot (-2)}} right. ; ,; left { {{-7v=-7} atop {u+2v=3}} right. ,; left { {{v=1} atop {u=1}} right. \\sqrt{x+1}=1,; ; sqrt{y}=1\\x+1=1,; ; ; ; y=1\\x=0,; ; ; ; y=1\\Otvet:(0,1).$