Question

решить систему уравнений
2/x+y/3=3
x/2+3/y=3/2

Answer 1

$left { {{ frac{2}{x}=a} atop { frac{y}{3} =b}} right. \ left { {{a+b=3} atop { frac{1}{a}+ frac{1}{b} = frac{3}{2} }} right. \ left { {{a+b=3} atop { frac{a+b}{ab} = frac{3}{2} }} right. \ left { {{a+b=3} atop { ab = 2 }} right. \ left { {{ left { {{a=1} atop {b=2}} right. } atop { left { {{a=2} atop {b=1}} right.}} right. \ left { {{ left { {{x=2} atop {y=6}} right. } atop { left { {{x=1} atop {y=3}} right.}} right.$
 Ответ: (1;3) или (2;6)