Jawab:

Penjelasan dengan langkah-langkah:

x - 2y + z = 1 ...(1)

3x + y + 2z = 3 ...(2)

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

1. eliminasi pers. (2) dengan pers. (3)

3x + y + 2z = 3

3x + 6y - 4z = -2  -

-5y + 6z = 5 ....(4)

2. eliminasi pers. (1) dengan pers. (2)

x - 2y + z = 1 |x3|

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

3x - 6y + 3z = 3

3x + y + 2z = 3  -

-7y + z = 0 ...(5)

3.eliminasi pers. (4) dengan pers. (5)

-5y + 6z = 5 |x1|

-7y + z = 0 |x6|

-5y + 6z = 5

-42y + 6z = 0 -

37y = 5

y = 5/37

3.eliminasi pers. (4) dengan pers. (5)

-5y + 6z = 5 |x7|

-7y + z = 0 |x5|

-35y + 42z = 35

-35y + 5z = 0     -

37z = 35

z = 35/37

4.eliminasi pers. (1) dengan nilai y dan z

x - 2y + z = 1 |x1|

            y = 5/37 |x(-2)|

             z = 35/37 |x1|

x - 2y + z = 1

         -2y = -10/37

             z = 35/37    -

x = 1 -(-10/37) - 35/37

x = (37+10-35)/37

x = 12/37

HP = {x,y,z} = {12/37, 5/37, 35/37}