Tentukan SPLTV dari1/x + 2/y – 3/z = -102/x – 1/y + 3/z = 181/x + 3/y – 1/z = 8​

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Tentukan SPLTV dari1/x + 2/y – 3/z = -102/x – 1/y + 3/z = 181/x + 3/y – 1/z = 8​

Penjelasan dengan langkah-langkah:

1/x + 2/y – 3/z = -10

2/x – 1/y + 3/z = 18

1/x + 3/y – 1/z = 8

x+2y-3z=-10 (1)

2x-y+3z=18. (2)

x+3y-z=8. (3)

Eliminasi X pers 1 dan 2

x+2y-3z=-10 x2

2x-y+3z=18. x1

2x+4y-6z=-20

2x-y+3z=18

5y-9z=-38. (3)

eliminasi X pers 2 dan 3

2x-y+3z=18. x1

x+3y-z=8. x2

2x-y+3z=18

2x+6y-2z=16

-7y+5z=2. (4)

eliminasi y pers 3 dan 4

5y-9z=-38. x7

-7y+5z=2. x5

35y-63z=-266

-35y+25z=10 +

-38z=-256

z=6,7