2x + 3y – z = 12… (i) x – y + 3z =2… (ii) 3x + 2y + z = 13… (iii)​

Penjelasan dengan langkah-langkah:

2x + 3y – z = 12 x1 2x + 3y – z = 12

x – y + 3z = 2. 2. 2x – 2y + 6z = 4

________________ _

5y – 7z = 8

x – y + 3z = 2. x3 3x – 3y + 9z = 6

3x + 2y + z = 13. x1. 3x + 2y + z = 13.

_____________ _

-5y + 8z = -7

5y – 7z = 8

-5y + 8z = -7

__________ +

z = 1

5y – 7z = 8

5y – 7(1) = 8

5y – 7 = 8

5y = 8 +7

5y = 15

y = 3

x – y + 3z = 2

x – 3 + 3(1) = 2

x – 3 + 3 = 2

x + 0 = 2

x = 2

HP : {2,3,1}

Jawaban:

pers i dan ii

2x + 3y – z = 12……..x1

x – y + 3z =2…………x2

——————————-

2x + 3y – z =12

2x -2y + 6z=4

————————-(-)

5y -7z = 8……………..1

pers ii dan iii

2x + 3y – z = 12……………x3

3x + 2y + z = 13…………..x2

—————————-

6x + 9y – 3z = 36

6x + 4y +2z = 26

—————————(-)

5y -5z = 10…………….2

pers 1 dan 2

5y-7z = 8

5y-5z = 10

—————-(-)

-2z = -2

z = 1

pers 1

5y – 7z = 8

5y -7(1)=8

5y -7 =8

5y = 8+7

5y = 15

y = 3

pers i

2x + 3y – z = 12… (i)

2x + 3(3) – 1 =12

2x +9 -1 =12

2x + 8 = 12

2x = 12-8

2x = 4

x = 2

jadi x = 2, y = 3 dan z =1