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Sistem Persamaan Linear Dua Variabel (SPLDV)

Sistem Persamaan Linear Dua Variabel (SPLDV). Bentuk  Penyelesaian  1. Metode Eliminasi 2 . Metode Substitusi. Metode Eliminasi. Cara  Hilangkan satu variabel yang koefisiennya sama Contoh : Hitung x+y pada SPLDV berikut 5x-3y=17 2x+4y=12. JAWABAN: x+y=...

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Sistem Persamaan Linear Dua Variabel (SPLDV)

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  1. Sistem Persamaan Linear Dua Variabel (SPLDV)

  2. Bentuk  • Penyelesaian  1. Metode Eliminasi 2. Metode Substitusi

  3. Metode Eliminasi • Cara  Hilangkan satu variabel yang koefisiennya sama • Contoh : Hitung x+y pada SPLDV berikut 5x-3y=17 2x+4y=12

  4. JAWABAN: x+y=... 4+1= 5 2 5 5x-3y =17 2x+4y =12 10x - 6y=34 10x+20y=60 - -26y=-26 y= 1 2x+4y=12 2x+4.1=12 2x+4=12 2x=8 x=4

  5. Metode Substitusi • Cara  - Tentukan nilai sementara satu variabel pada suatu persamaan - Substitusikan nilai variabel tersebut ke persamaan yang lain • Contoh : Hitung nilai 2x-y pada SPLDV berikut 4x-y =13 .....(1) 2x+3y=3 .....(2)

  6. x(3) y=4x-13 y=4.3-13 y=12-13 y=-1 2x-y=... 2.3-(-1)=... 6+1= 7 JAWABAN (1) 4x-y=13 -y=-4x+13 y=4x-13.....(3) (3)(2) 2x+3(4x-13)=3 2x + 12x-39 =3 14x=42 x=3 Himpunan penyelesaian = {(3, 7)}

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