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# sisitem persamaan linear

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### sisitem persamaan linear

1. 1. 3. SISTEM PERSAMAAN LINEAR A. Sistem Persamaan Linear Dua Variabel (SPLDV) 1.  a1x + b1y = c1 Bentuk umum :   a 2x + b2 y = c2 2. Dapat diselesaikan dengan metode grafik, substitusi, eliminasi, dan determinan. 3. Metode determinan: a1 Dx = x= B. b1 a2 D= b2 c1 c2 b1 a1 ;Dy = b2 a2 = a1b2 – a2b2; c1 ; c2 Dx ; D y= Dy D Sistem Persamaan Linear Tiga Variabel (SPLTV) 1.  a1x + b1y + c1z = d1  Bentuk umum :  a 2 x + b 2 y + c 2 z = d 2 a x+ b y+ c z = d  3 3 3 3 2. Dapat diselesaikan dengan metode eliminasi bertingkat dan determinan. 3. Metode determinan: a1 b1 c1 D = a2 a3 b2 b3 c2 c3 d1 b1 c1 a1 d1 c1 a1 b1 d1 Dx = d 2 d3 b2 b3 c 2 ; Dy = a 2 c3 a3 d2 d3 c 2 ; Dz = a 2 c3 a3 b2 b3 d2 ; d3 = (a1b2c3 + b1c2a3 + c1a2b3) – (a3b2c1 + b3c2a1 + c3a2b1) = x= Dx ; D y= Dy D ; z= Dz D