1 / 16

Sistem Persamaan 2 Linear

FKIP-UNA

manakala
Télécharger la présentation

Sistem Persamaan 2 Linear

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. SISTEM PERSAMAAN By : Novita Sari FKIP UNA

  2. APAKAH YANG DIMAKSUD DENGAN PERSAMAAN ?

  3. PERSAMAAN IALAH KALIMAT TERBUKA YANG MENYATAKAN HUBUNGAN SAMA DENGAN.

  4. 1. Sistem Persamaan Linear • SistemPersamaan Linear DuaVariabel Bentukumum : Keterangan : a = koefisien x b = koefisien y x,y = variabel ( peubah ) ax + by = c

  5. Pasanganbilanganpengganti x dan y dalambentukhimpunandisebutHimpunanPenyelesaian ( HP ). Menyelesaikansistempersamaan linear duapeubah, denganmenggunakanmetodegrafikdanaljabar ( subsitusidangabunganeliminasidansubsitusi )

  6. ContohMetodeSubsitusi

  7. Tentukan Hp sistem persamaan linear dua variabel berikut : 2x + y = 5 3x – 2 y = 4

  8. PENYELESAIAN :

  9. Dari persamaan 2x + y = 5 dapat dibentuk y = 5 – 2x. Kemudian dari persamaan y = 5 – 2x dimasukkan kedalam persamaan 3x – 2y = 4 2x + y = 5 3x – 2 y = 4

  10. 3x – 2y = 4 • 3x – 2 ( 5 – 2x ) = 4 • 3x – 10 + 4x = 4 • 3x + 4x = 4 + 10 • 7 x = 14 • x = 2 Hasil X = 2 dimasukkandalampersamaan 2x + y = 5 • 2x + y = 5 • 2(2) + y = 5 • 4 + y = 5 • y = 5 - 4 • y = • Jadi, Hp = { 2, 1 }

  11. Metode Gabungan Eliminasi Dan Subsitusi

  12. Tentukan himpunan penyelesaian dari 2x - 3y = 7………………(1) 3x – 2 y = 4………………(2)

  13. PENYELESAIAN :

  14. Langkah 1 ( Eliminasi ) Menghilangkansalahsatuvariabel 2x -3 y = 7 x 1 2x – 3y = 7 3x + y = 6 x 3 9x + 3y = 18 + 11x = 25 x = 25/11

  15. Langkah 2 ( Subsitusi ) Subsitusikan x = 25/11 kepersamaan (1) yaitu : 2(25/11) – 3y = 7 • 3y = 50/11 – 7 • 3y = - 27/11 • y = - 9/11 • Jadi, Hp = { 25/11, -9/11 }

  16. SOAL • Himpunanpenyelesaiandari 3x – 2y = 8 dan 2x + 5y = -1 adalah…….. • Himpunanpenyelesaian 3x – y + 4 = 0 dengan x ∈ { 0,1,2,3,4 } dan y bilanganbulatadalah…….. • Himpunanpenyelesaiandari 2x + 2y = 48 dan x – y = 6 adalah….

More Related