Предмет: Алгебра, автор: missis2013

Найти решение системы линейных уравнений (м.Гауса)

5x + 6y + z = 6

5x + y + 6z = 7

4x +3y – z = 4

Ответы

Автор ответа: kemiron11
0

x = -(z+6*y-6)/5

        z+6y-6

x=-------------------------

             5                                        

 первое 

Приложения:
Автор ответа: YuSS
0

z = 6 - 5x - 6y

y = 7 - 6z - 5x

z = 4x + 3y - 4

 

z = 6 - 5x - 6y

y = 7 - 6(6 - 5x - 6y) - 5x

6 - 5x - 6y = 4x + 3y - 4

 

z = 6 - 5x - 6y

y = 7 - 36 + 30x + 36y - 5x

10 - 9x  = 9y

 

z = 6 - 5x - 6y

29 = 25x + 35y

10/9 - x  = y

 

z = 6 - 5x - 6y

29 = 25x + 35(10/9 - х)

10/9 - x  = y

 

z = 6 - 5x - 6y

29 = 25х + 350/9 - 35x

10/9 - x  = y

 

z = 6 - 5x - 6y

10х = 89/9

10/9 - x  = y

 

z = 6 - 5x - 6y

x = 89/90

10/9 - 89/90  = y

 

z = 6 - 5x - 6y

x = 89/90

y = 11/90

 

z = 6 - 5*89/90 - 6*11/90

x = 89/90

y = 11/90

 

z = 29/90

x = 89/90

y = 11/90

 

Всё верно

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