Question

Tolong dijawab no 19 ya please pake cara SPLTV ya. makasih

Answer 1

1/x + 2/y = 1, maka 1/x = 1 - 2/y... persamaan 1
1/x + 4/z = 0 maka 1/x = - 4/z ... persamaan 2
1/y + 2/z = 1, maka 1/y = 1 - 2/z ... persamaan 3

1 - 2/y = - 4/z
1 - 2(1 - 2/z) = -4/z
1 - 2 + 4/z = -4/z
-1 = -8/z
z = -8/-1
z = 8

1/x = -4/8
1/x = -½
1 = -½x
x = -2

1/y = 1 - 2/z
1/y = 1 - 2/8
1/y = 6/8
y = 8/6

x + y + z = -2 + 8/6 + 8 = 6 + 4/3 = 7 ⅓ (D)