SPLTV

4a - 2b + 3c = 9 ... (1)

3a + 2b + 2c = 8 ... (2)

-2a - 3b + 6c = 2 ... (3)

eliminasi b , persamaan (1) dan (2

4a - 2b + 3c = 9

3a + 2b + 2c = 8

______________(+)

7a + 5c = 17 ... (3)

eliminasi b , persamaan (2) dan (3)

persamaan (2) , kalikan 3

persamaan (3) , kalikan 2

9a + 6b + 6c = 24

-4a - 6b + 12c = 4

______________(+)

5a + 18c = 28 ... (4)

eliminasi a , pers (3) dan (4)

pers (3) , kalikan 5

pers (4) , kalikan 7

35a + 25c = 85

35a + 126c = 196

______________(-)

-101c = -111

c = 111/101

Substitusikan nilai c ke pers (3) atau pers (4)

7a + 5c = 17

7a = 17 - 5c

7a = 17 - 5(111/101)

7a = 1717/101 - 555/101

7a = 1162/101

a = 1162 / (101 × 7)

a = 166/101

Substitusikan nilai a dan c ke salah satu persaman pada soal

3a + 2b + 2c = 8

2b = 8 - 3a - 2c

2b = 808/101 - 3(166/101) - 2(111/101)

2b = (808 - 498 - 222)/101

2b = 88/101

b = 88 / (2 × 101)

b = 44/101

(a , b , c) = (166/101 , 44/101 , 111/101)