Penjelasan dengan langkah-langkah:
langkah pengerjaan terlampir
Jawab:
10) Kelas I=x
Kelas II=y
x + y = 500
y = 500 - x
10.000x + 5.000y = 3.375.000
10.000x + 5.000(500-x) = 3.375.000
10.000x + 2.500.000 - 5000x = 3.375.000
5.000x = 875.000
x = 175
= 500 - 175
= 325
x : y = 175 : 325 = 7 : 13 (D)
11) x - y + z = -1 ... (1)
2x + y + 3z = 2 ... (2)
3x + 4y - z = 0 ... (3)
(1) dan (2)
x - y + z = -1
2x + y + 3z = 2 +
3x + 4z = 1 ... (4)
(1) dan (3)
x - y + z = -1 [x4]
3x + 4y - z = 0
menjadi
4x - 4y + 4z = -4
3x + 4y - z = 0 +
7x + 3z = -4 ... (5)
(4) dan (5)
3x + 4z = 1 [x3]
7x + 3z = -4 [x4]
9x + 12z = 3
28x + 12z = -16 -
-19x = 19
x = -1
y = 1
z = 1
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Penjelasan dengan langkah-langkah:
langkah pengerjaan terlampir
Jawab:
10) Kelas I=x
Kelas II=y
x + y = 500
y = 500 - x
10.000x + 5.000y = 3.375.000
10.000x + 5.000(500-x) = 3.375.000
10.000x + 2.500.000 - 5000x = 3.375.000
5.000x = 875.000
x = 175
y = 500 - x
= 500 - 175
= 325
x : y = 175 : 325 = 7 : 13 (D)
11) x - y + z = -1 ... (1)
2x + y + 3z = 2 ... (2)
3x + 4y - z = 0 ... (3)
(1) dan (2)
x - y + z = -1
2x + y + 3z = 2 +
3x + 4z = 1 ... (4)
(1) dan (3)
x - y + z = -1 [x4]
3x + 4y - z = 0
menjadi
4x - 4y + 4z = -4
3x + 4y - z = 0 +
7x + 3z = -4 ... (5)
(4) dan (5)
3x + 4z = 1 [x3]
7x + 3z = -4 [x4]
menjadi
9x + 12z = 3
28x + 12z = -16 -
-19x = 19
x = -1
y = 1
z = 1