Question

РЕШИТЕ СИСТЕМУ УРАВНЕНИЙ СЕТОДОМ ЗАМЕНЫ ПЕРЕМЕННОЙ
{(1/x+3y)+y=5
{y/(x+3y)=6

Answer 1

$left { {{frac{1}{x} + y = 5} atop {frac{y}{x + 3y} = 6}} right. ::= textgreater :: left { {{y = 5 - frac{1}{x}} atop {frac{y}{x + 3y} = 6}} right. ::= textgreater :: left { {{y = 5 - frac{1}{x}} atop {frac{5 - frac{1}{x}}{x + 3(5 - frac{1}{x})} = 6}} right. ::= textgreater ::$
$left { {{y = 5 - frac{1}{x}} atop {5 - frac{1}{x} = 6x + 18(5 - frac{1}{x})}} right. ::= textgreater :: left { {{y = 5 - frac{1}{x}} atop {5 - frac{1}{x} = 6x + 90 - frac{18}{x}}} right. ::= textgreater :: left { {{y = 5 - frac{1}{x}} atop {6x + 85 - frac{17}{x}} = 0} right.\ 6x^2 + 85*x - 17 = 0$
$6x^2 + 85x - 17 = 0\ x_1 = frac{-85+sqrt{7633}}{12} : y_1=\ x_2 = frac{-85-sqrt{7633}}{12} : y_2=$