Penjelasan dengan langkah-langkah:

Ke Intinya saja ya!

.

x + 3y - 5z = -6 |x2|

2x - y + 3z = 8 |x1|

2x + 6y - 10z = -12

2x - y + 3z = 8

________________ _

7y - 13z = -20 ... misalkan persamaan (A)

.

2x - y + 3z = 8 |x3|

3x - 6y - z = 12 |x2|

6x - 3y + 9z = 24

6x - 12y - 2z = 24

_______________ _

9y + 11z = 0 ... persamaan (B)

.

Eliminasi persamaan A dan B

7y - 13z = -20 |×9|

9y + 11z = 0 |x7|

63y - 117z = -180

63y + 77z = 0

_____________ _

-194z = -180

z = 180/194

z = 90/97

.

Boleh deh disubstitusi z ke :

9y + 11z = 0

9y = -11z

9y = -11(90/97)

9y = -990/97

y = -990/(97 x 9)

y = -990/873

y = -110/97

.

Kalau udah nemu nilai y dan z mudah:

substitusi aja ke :

2x - y + 3z = 8

2x - (-110/97) + 3(90/97) = 8

2x + 110/97 + 270/97 = 8

2x + 380/97 = 8

2x = 8 - 380/97

2x = (776 - 380)/97

2x = 396/97

x = 396/ (2 x 97)

x = 396/194

x = 198/97

.

HP (x, y, z) = { ¹⁹⁸/97 , -¹¹⁰/97 , ⁹⁰/97 }