Penjelasan dengan langkah-langkah:

ELI, SUSI & TRIK

1. SUBTITUSI

2x + 3y = 16

x – 2y = 4

• x = 2y + 4

→ 2(2y + 4) + 3y = 16

4y + 8 + 3y = 16

(4 + 3)y = 16 – 8

7y = 8

y = 8/7

→ x = 2y + 4

x = 2 × 8/7 + 4×7/7

x = (16 + 28)/7

x = 44/7

HP = { 44/7, 8/7 }

5. ELIMINASI

x + 2y = 2

x – 2y = 2 +

2x = 4

x = 4/2

x = 2

x + 2y = 2

x – 2y = 2 –

4y = 0

y = 0/4

y = 0

HP = { 2, 0 }

3. MATRIKS

x – y = 16 |1 –1 | x | 16 |

4x + 2y = 28 |4 2 | y | 28|

det = 1 × 2 – (–1) × 4

det = 2 + 4

det = 6

Dy = |1 16|

|4 28|

Dy = 1 × 28 – 4 × 16

Dy = 28 – 64

Dy = –36

Dx = |16 –1|

|28 2 |

Dx = 16 × 2 – (–1) × 28

Dx = 32 + 28

Dx = 60

x = Dx/det

x = 60/6

x = 10

y = Dy/det

y = –36/6

y = –6

HP = { 10, –6 }