Jawaban:

Penjelasan:

x - 2y + z = 6

3x + y - 2z = 4

7x - 6y - z = 10

x = 6 + 2y - z

3 (6 + 2y - z) + y - 2z = 4

18 + 6y - 3z + y - 2z = 4

7y - 5z = 4 - 18

7y - 5z = -14

7y = -14 + 5z

y = (-14 + 5z)/7

y = -2 + (5z/7)

7(6 + 2y - z) - 6( -2 + (5z/7)) - z = 10

42 + 14y - 7z + 12 - (30z/7) - z = 10

14y - 7z - (30z/7) - z = 10 - 42 - 12

14y - (7 + (30/7) + 1)z = -44

14y - (86/7)z = -44

14(-2 + (5z/7)) - (86/7)z = -44

-28 + 10z - (86/7)z = -44

(-16/7)z = 28 - 44

(-16/7)z = -16

-16z = 7(-16)

z = 7

y = -2 + (5(7)/7) = 3

x = 6 + 2(3) - 7 = 5

HP = {x, y, z} = {5, 3, 7}