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Home » Matematika SMA » Matematika SMP » Cara Cepat Menyelesaikan SPL Dua Variabel

Cara Cepat Menyelesaikan SPL Dua Variabel

Diposkan oleh Matematika Ku Bisa Pukul 2:14 pm

Cara cepat menyelesaikan sistem persamaan linear dua variabel? Ada yang tahu nggak? Kalau belum silahkan disimak sampai akhir! Sebelumnya ada cara cepat yang penting juga untuk diketahui adik-adik semua yaitu Cara Mudah dan Cepat Menyelesaikan Soal Limit Fungsi Aljabar dan Trigonometri

SPL Dua Variabel merupakan bahasan Aljabar-Matematika yang telah kalian pelajari baik pada Matematika SMP maupun Matematika SMA. Ada beberapa cara untuk menyelesaikan sistem persamaan linear dua variabel antara lain:

Penyelesaian SPL dengan Metode Subsitusi
Penyelesaian SPL dengan Metode Eliminasi
Penyelesaian SPL dengan Metode Grafik
Penyelesaian SPL dengan Matriks
Penyelesaian SPL dengan Eliminasi Gauss
Penyelesaian SPL dengan Aturan Cramer

Cara Cepat Menyelesaikan Sistem Persamaan Linear Dua Variabel

Misalkan SPL-nya:

$ax+by=c$ ...... (i)
$px+qy=r$ ...... (ii)

Maka HP-nya adalah (x,y)
dengan:

Contoh: Misalkan diberikan SPL:
2x+6y=12 ...... (i)
4x+4y=16 ...... (ii)

Maka Himpunan Penyelesaiannya adalah :
x=

y=

Jadi Himpunan Penyelesaiannya={(3,1)}

Pembuktian: x=3 dan y=1 masukkan pada persamaan yang ada sbb:

Pers. (i)
2x+6y=12
2(3)+6(1)=12
6+6=12 (benar)

Pers. (ii)
4x+4y=16
4(3)+4(1)=16
12+4=16 (benar)

Demikian untuk Cara Cepat Menyelesaikan Sistem Persamaan Linear Dua Variabel.

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