Question

Bisa bantu jawab? pakai cara ya makasih

Answer 1

1/u - 1/y + 2/z = 9....................................(1)
2/u + 1/y - 3/z = -19................................(2)
4/u - 2/y + 1/z = 2....................................(3)

elimiasi (1) dan (2)
1/u - 1/y + 2/z = 9....................................(1)
2/u + 1/y - 3/z = -19................................(2)
-> 3/u - 1/z = -10.....................................................................(4)

eliminasi (1) dan (3)
1/u - 1/y + 2/z = 9....................................(1)
4/u - 2/y + 1/z = 2....................................(3)
samakan koefisien y
2/u - 2/y + 4/z = 18....................................(1)
4/u - 2/y + 1/z = 2......................................(3)
-> -2/u + 3/z = 16.....................................................................(5)

eliminasi (4) dan (5)
3/u - 1/z = -10.....................................................................(4)
-2/u + 3/z = 16.....................................................................(5)
agar mudah, samakan koefisien z
9/u - 3/z = -30.....................................................................(4)
-2/u + 3/z = 16.....................................................................(5)
-> 7/u = -14
-> u = -1/2

substitusi nilai u ke (4)
3/u - 1/z = -10.....................................................................(4)
3/(-1/2) - 1/z = -10..............................................................(4)
3(-2) - 1/z = -10..................................................................(4)
-6 - 1/z = -10.......................................................................(4)
- 1/z = -10 + 6.....................................................................(4)
- 1/z = -4..............................................................................(4)
z = 1/4

substitusi nilai u dan z ke (1)
1/u - 1/y + 2/z = 9....................................(1)
1/(-1/2) - 1/y + 2/(1/4) = 9......................(1)
1(-2) - 1/y + 2(4) = 9...............................(1)
-2 - 1/y + 8 = 9.........................................(1)
- 1/y + 6 = 9..............................................(1)
- 1/y  = 9 - 6..............................................(1)
- 1/y = 3.....................................................(1)
y = -1/3


jadi, u = -1/2 , y = -1/3 dan z = 1/4
maka, HP={-1/2, -1/3, 1/4}