РЕШИТЕ СИСТЕМУ УРАВНЕНИЙ СЕТОДОМ ЗАМЕНЫ ПЕРЕМЕННОЙ {(1/x+3y)+y=5 {y/(x+3y)=6. Created by smoke228322. algebra-ru

(x+3y)=6...

July 2022 1 3 Report

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

Answers & Comments

MaxLevs [tex] \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 \ \:\: [/tex][tex] \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\\[/tex][tex]6x^2 + 85x - 17 = 0\\ x_1 = \frac{-85+\sqrt{7633}}{12} \: y_1=\\ x_2 = \frac{-85-\sqrt{7633}}{12} \: y_2=\\[/tex]

0 votes Thanks 0

Answers & Comments

kak postroit grafik etoj funkciieefefa1c03f6dd16cffef48f1a89b890 60410

najti df plz srochno ochen nado

najti df srochno plez

x=3 {5x-y=6...

najti oblast opredeleniya funkciicfd1f41d1e67792a96a70d7b3a32eef0 97626

reshite sistemu uravnenij metodom zameny peremennoj srochno pozhalujsta

рекомендуемые вопросы

Helpful Links

Helpful Social