Nilai x, y, z : x/4+3/y+1/z=9 3/x-4/y+2/z=3 2/x+5/y-1/z=5 Tolon dijawab secepat mungkin
Matematika
farhanrevy
Pertanyaan
Nilai x, y, z :
x/4+3/y+1/z=9
3/x-4/y+2/z=3
2/x+5/y-1/z=5
Tolon dijawab secepat mungkin
x/4+3/y+1/z=9
3/x-4/y+2/z=3
2/x+5/y-1/z=5
Tolon dijawab secepat mungkin
1 Jawaban
-
1. Jawaban Yustika1111
a) 4/x+3/y+1/z=9
2/x+5/y-1/z=5
___________+
6/x+8/y = 14
b) 3/x-4/y+2/z=3 [x1]
2/x+5/y-1/z=5 [x2]
=> 3/x-4/y+2/z=3
4/x+10/y-2/z=10
____________+
7/x+6/y = 13
·» 6/x+8/y = 14 [x3] ...(a)
7/x+6/y = 13 [x4] ...(b)
=> 18/x+24/y=42
28/x+24/y=52
___________-
-10/x = -10
-10 = -10x
x = 1
·» 7/x+6/y=13 ...(a)
7/1+6/y=13
7+6/y=13
6/y=13-7
6= 6y
y= 1
·» 4/x+3/y+1/z=9
4/1+3/1+1/z =9
4+3+1/z=9
7 + 1/z = 9
1/z = 9-7
1 = 2z
z = 1/2