Sheet1Selesaikanlah sistem persamaan dengan 5 variabel yang tidak diketahui berikut :10A-3B+6C-5D+13E =23.621A+4B-56C+0+0 = 72.50+ 15B+0+36D-19E = 5.8 15A+0-28C+51D+42E = 45.20+0+16C+34D-72E = 32.5

Dengan metode: 1. Eliminasi Gauss2. Gauss- JordanStep 1Step 2ABCDEABCDE

10-36-513=23.6 ==>1-0.30.6-0.51.3=2.36214-5600=72.5010.3-68.610.5-27.3=22.94015036-19=5.8015036-19=5.8150-285142=45.204.5-3758.522.5=9.8001634-72=32.5001634-72=32.5

Step 3Step 4ABCDEABCDE

1-0.30.6-0.51.3=2.361-0.30.6-0.51.3=2.36 ==>01-6.66019417481.0194174757-2.6504854369=2.22718446601-6.66019417481.0194174757-2.6504854369=2.2271844660099.902912621420.708737864120.7572815534=-27.6077669903 ==>0010.20728862970.2077745384=-0.27634596700-7.029126213653.912621359234.427184466=-0.222330097100055.369679300335.8876579203=-2.164800777500122.563106796117.6893203883-29.5922330097=-3.1349514563000-7.7166180758-55.0577259475=30.734868804755ABCDEABCDE

1-0.30.6-0.51.3=2.361-0.30.6-0.51.3=2.3601-6.66019417481.0194174757-2.6504854369=2.22718446601-6.66019417481.0194174757-2.6504854369=2.2271844660010.20728862970.2077745384=-0.2763459670010.20728862970.2077745384=-0.276345967 ==>00010.648146393=-0.039097224400010.648146393=-0.03909722440000-50.0562277755=30.433170456 ==>00001=-0.6079797022E=-0.6079797022E=-0.60797970220.0-0.4003831899D=0.3549626266D=0.35496262660.00.2204096959C=-0.2236029815C=-0.22360298150.0-0.2388449584B=-1.2353512599B=-1.23535125990.0-0.6494686441A=3.091411337A=3.0914113370.02.9391693766TESTABCDE

10-36-513=23.623.6=23.60.0OK23.60.0214-5600=72.572.5=72.50.0OK72.50.0015036-19=5.85.8=5.80.0OK5.80.0150-285142=45.245.2=45.20.0OK45.20.0001634-72=32.552.2656201586=32.519.77TIDAK OK32.50.0

Sheet2

ABCDE

10-36-513=23.6Pers.(1)214-5600=72.5Pers.(2)015036-19=5.8Pers.(3)150-285142=45.2Pers.(4)001634-72=32.5Pers.(5)Step 1Samakan koefisen A pada Pers (1) dan (2)21-6.312.6-10.527.349.56Pers. (6)Step 2Eliminasi nilai A21-6.312.6-10.527.349.56Pers. (6)214-560072.5Pers.(2)0-10.368.6-10.527.3-22.94Pers.(7)Step 3Samakan koefisien B pada Pers(3) dg Pers (7)0-10.30-24.7213.0466666667-3.9826666667Pers. (8)Step 4Eliminasi nilai B0-10.368.6-10.527.3-22.940-10.30-24.7213.0466666667-3.98266666670068.614.2214.2533333333-18.9573333333Pers.(9)Step 5Samakan Koefisien A pada Pers(1) dg pers (4), kemudian eliminasi15-4.59-7.519.535.4Pers. (10)150-28514245.2Pers. (4)0-4.537-58.5-22.5-9.8Pers. (11)

Step 7Karena variabel A sudah nol, maka dapat dilihat pers (11) dapat dieliminasi dg pers (7)0-10.368.6-10.527.3-22.94Pers.(7)0-4.537-58.5-22.5-9.8Pers. (11)

0-10.384.6888888889-133.9-51.5-22.4311111111Pers (12)0-4.529.9708737864-4.587378640811.927184466-10.02233009710-10.368.6-10.527.3-22.94Pers. (11)0-4.537-58.5-22.5-9.800-7.029126213653.912621359234.427184466-0.22233009710016.0888888889-123.4-78.80.5088888889Pers (13)

Susun pers (5), (9) dan (13)0068.614.2214.2533333333-18.9573333333Pers.(9)0068.614.2214.2533333333-18.9573333333001634-7232.5Pers.(5)001634-7232.50016.0888888889-123.4-78.80.5088888889Pers (13)00-7.029126213653.912621359234.427184466-0.2223300971Step 800163.31661807583.3243926142-4.4215354713Samakan koefisien C dan eliminasi pada Pers (9)001634-7232.500163.31661807583.3243926142-4.4215354713Pers (14)000-30.683381924275.3243926142-36.9215354713001634-7232.5Pers (5)0068.6-526.1544198895-335.98839779012.1698066298000-30.683381924275.3243926142-36.9215354713Pers (15)0068.614.2214.2533333333-18.9573333333000-540.3744198895-350.241731123421.1271399632Step 8Samakan koefisien C dan eliminasi pada Pers (13)000-30.683381924275.3243926142-36.92153547130016-122.7182320442-78.3646408840.5060773481Pers (16)000-540.3744198895-350.241731123421.1271399632001634-7232.5Pers (5)000-30.683381924275.3243926142-36.9215354713000-156.7182320442-6.364640884-31.9939226519Pers (17)000-30.6833819242-19.88732331941.1996350689000095.2117159335-38.1211705403Step 9Eliminasi pers (15) dengan pers (17)E=-0.4003831899000-30.683381924275.3243926142-36.9215354713Pers (15)000-156.7182320442-6.364640884-31.9939226519Pers (17)000-30.683381924275.3243926142-36.9215354713Pers (15)000-30.6833819242-1.2461135154-6.2639919758Pers (18)000076.5705061295-30.6575434956Pers (19)Maka diperoleh nilai :E=-0.40038318990.0D=0.2204096959C=-0.2388449584B=-0.6494686441A=2.9391693766TEST23.60.0OK72.50.0OK5.80.0OK45.20.0OK32.50.0OK

Sheet3