Найти решение системы линейных уравнений (м.Гауса) 5x + 6y + z = 6 5x + y + 6z = 7 4x +3y – z = 4

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