Question

Mohon dijawab :3 harus pake cara :3

Answer 1

Misal:
1/(x + 2) = p
1/(y + 3) = q
1/(z + 1) = r
maka:
6p + 15q + 2r = 8 ... (1)
4p + 5q + 3r = 6 ... (2)
8p - 10q + 5r = 5 ... (3)

eliminasi (1) dan (2)
6p + 15q + 2r = 8
12p + 15q + 9r = 18
_________________ _
6p + 7r = 10 ... (4)

eliminasi (2) dan (3)
8p + 10q + 6r = 12
8p - 10q + 5r = 5
_______________ +
16p + 11r = 17 ... (5)

eliminasi (4) dan (5)
48p + 56r = 80
48p + 33r = 51
____________ _
23r = 29
r = 29/23
16p + 11(29/23) = 17
16p = 17 - 319/23
16p = 72/23
2p = 9/23
p = 9/46

6p + 15q + 2r = 8
54/46 + 15q + 116/46 = 8
15q = 8 - 170/46
15q = 198/46
q = 198/690

1/(x + 2) = 9/46
46 = 9x + 18
9x = 28
x = 28/9
1/(y + 3) = 198/690
690 = 198y + 594
198y = 96
y = 96/198
1/(z + 1) = 29/23
23 = 29z + 29
29z = - 6
z = - 6/29

x + y + z = 28/9 + 96/198 - 6/29