Question

Помогите решить систему из 1) 1/x-1/y=3/4
2)xy=2

Answer 1

$left { {{frac{1}{x}-frac{1}{y}=frac{3}{4}} atop {xy=2}} right. ; left { {{frac{y-x}{xy}=frac{3}{4}} atop {xy=2}} right. ; left { {{frac{y-x}{2}=frac{3}{4} atop {xy=2}} right. ; left { {{4(y-x)=6} atop {xy=2}} right. ; left { {{frac{4}{x}-2x=3} atop {y=frac{2}{x}}} right. \\frac{4}{x}-2x=3\\frac{4-2x-3x}{x}=0; ; Rightarrow ; ; left { {{4-5x=0} atop {xne 0}} righ; ; left { {{x=frac{4}{5}=0,8} atop {y=frac{5}{2}=2,5}} right.$