Question

1)spltv
x/2 +y/4 = 6
y/6-z/2 = -2
z/4+x/3 = 4

2)
1/x+2/y +4/z= 1
-1/x +4/y+12/z =0
2/x +8/y+4/z = -1

Answer 1

Verified answer

Jawabnnya di atas.
maaf aku gk bisa yang nomer 2,cuma bisa nomer 1

semoga membantu

Answer 2

SPLTV

1.]
x/2 + y/4 = 6 [x 4]
2x + y = 24 ... (i)

y/6 - z/2 = -2 [x 6]
y - 3z = -12 ... (ii)

z/4 + x/3 = 4 [x 12]
4x + 3z = 48 ... (iii)

Eliminasi (i) dan (ii)
2x + y = 24
y - 3z = -12
_________ [–]
2x + 3z = 36 ... (iv)

Eliminasi (iii) dan (iv)
4x + 3z = 48
2x + 3z = 36
__________ [–]
2x = 12
x = 6

2(6) + 3z = 36
3z = 24
z = 8

y - 3(8) = -12
y = -12 + 24
y = 12

HP : {(6 , 12 , 8})

2.]
Misal 1/x = a , 1/y = b , 1/z = c
a + 2b + 4c = 1 => a = 1 - 2b - 4c ... (i)

-a + 4b + 12c = 0
4b + 12c = a ... (ii)

Maka :
4b + 12c = 1 - 2b - 4c
6b + 16c = 1 [x 16]
96b + 256c = 16 ... (iii)

2a + 8b + 4c = -1
2(4b + 12c) + 8b + 4c = -1
16b + 28c = -1 [x 6]
96b + 168c = -6 ... (iv)

Eliminasi (iii) dan (iv)
96b + 256c = 16
96b + 168c = -6
__________ [–]
88c = 22
c = ¼
1/z = ¼
z = 4

6b + 16(¼) = 1
6b = 1 - 4
6b = -3
b = - ½
1/y = - ½
y = -2

a = 1 - 2(-½) - 4(¼)
a = 1 + 1 - 1
a = 1
1/x = 1
x = 1

HP : {(1 , -2 , 4)}