Question

5.....__________________

Answer 1

$left { {{ frac{x^2}{y-1}=2 } atop { frac{x-1}{y+1} = frac{1}{4} }} right. \ left { {{ frac{x^2}{y-1}=2 } atop { 4x-4=y+1}} right. \ frac{x^2}{4x-6}=2 } \ frac{x^2-8x+12}{4x-6}=0 \ x^2-8x+12=0 \ D=64-4*12=16 \ left { {{ x_{1} = frac{8+4}{2}=6 } atop { y_{1} = 24-5=19}} right. \ left { {{ x_{2} = frac{8-4}{2}=2 } atop { y_{1} = 8-5=3}} right. \ Otvet: frac{6}{19}; frac{2}{3}.$