Jawaban:

X = 2

Y = -1

Z = 4

Penjelasan dengan langkah-langkah:

x + y + z = 5 (x2)

2x - y + z = 9

___________

2x +2y + 2z =10

2x -y +z = 9

___________ -

3y + z = 1 .......... (persamaan 1)

x + y + z = 5

x - 2y + 3z = 16

___________ -

3y - 2z = -11 ........... (persamaan 2)

Eliminasi Y =

3y + z = 1

3y - 2z = -11

__________ -

3z = 12

z = 12/3

z = 4

Subtitusi z = 4 :

3y + 4 = 1

3y = 1 - 4

3y = -3

y = -3/3

y = -1

Subtitusi z = 4 dan y = -1 ke persamaan awal = x + y + z = 5 :

x + y + z = 5

x + (-1) + 4 = 5

x + 3 = 5

x = 5-3

x = 2