Bantu jawab kk…….​

Jawaban:

b. 1 : 3 : 5

Penjelasan dengan langkah-langkah:

-x + y + z = 7 …………….(1)

3x – 2y – z = -8 …………(2)

2x + 3y – z = 6 …………(3)

gunakan cara eliminasi atau subtitusi

eliminasi (2) dan (1)

3x – 2y – z = -8

.-x + y + z = 7

——————– +

2x – y + 0 = -1

2x – y = -1 ……………….(4)

eliminasi (2) dan (3)

3x – 2y – z = -8

2x + 3y – z = 6

——————— –

x – 5y + 0 = -14

x – 5y = -14 ………………(5)

eliminasi (4) dan (5)

2x – y = -1….. (x 1)

x – 5y = -14…….(x 2)

2x – y = -1

2x -10y = -28

—————- –

0 + 9y = 27

y = 27/9

y = 3

x – 5y = -14

x – 5(3) = -14

x = -14 + 15

x = 1

subtitusikan x = 7 dan y = 1 ke (1)

-x + y + z = 7

-1 + 3 + z = 7

z = 7 + 1 – 3

z = 5

HP = {1, 3, 5}

perbandingan nilai x : y : z = 1 : 3 : 5