Решить систему уравнений

{ху + z = 94

{x + yz = 95

{x + yz = 95 (1)

{ху + z = 94 (2)

(1) - (2)

y (z - x) + x - z = 1

y (z - x) - (z - x) = 1

(z - x) (y - 1) = 1

1) (1) * (1) = 1

2) (-1) * (-1) = 1

1)

{ (z-x) = 1 = > z = 1 + x

{ (y-1) = 1 = > y = 2

{ x + 2z = 95 = > x + 2 (1 + x) = 95 = > 3x = 93 = > x = 31

{2 х + z = 94 = > 2x + 1 + x = 94 = > 3x = 93 = > x = 31

z = 1 + x = > 1 + 31 = 32

z = 32

x = 31; y = 2; z = 32

2)

{ (z-x) = - 1

{ (y-1) = - 1 = > y = 0

{x + 0*z = 95 (1) = > x = 95

{х*0 + z = 94 (2) = > y = 94

x = 95; y = 94; z = 0