Himpunan Penyelesaian SPLTV Memakai Metode Subtitusi... 2x + 3y + z = 6 ...... (1) 3x + 2y + z = 7 ...... (2) x + 2y - z = 5 ....... (3)

Eliminasi x 2X + 3y + z = 6. X3. 6x + 9y + z = 18 3x + 2y + z = 7. X 2. 6x + 4y + 2z = 14 -------------------- ( - ) 5y - z = 4 Eliminasi x 3x + 2y + z = 7. X1. 3x + 2y + z = 7 X + 2y - z = 5. X 3. 3x + 6y -3z = 15 ------------------ ( - ) -4y + 4z = -8 Jdi 5Y -z = 4. X4. 20y - 4z = 16 -4y + 4z = -8. X 5. -20y + 20z = -40 ------------------- ( + ) 16z = 56 Z = 46 /16 Z = 3,5 5y - z = 4 5y - ( 3,5 ) = 4 5y = 4 +3,5 5y = 7,5 Y = 7,5 / 5 Y = 1,5 X. + 2y. - z. = 5 X. + 2 ( 1,5 ) - 3,5 = 5 X + 3 - 3,5 = 5 X - 0,5 = 5 X = 5 +0,5 X = 5,5 Jadi. X( 5,5 ) y ( 1,5 ) dan z ( 3,5 )