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Verified answer
1][2 bilangan : x dan y
model matematika nya :
x + y = 32
x - y = 16
x + y = 32
x - y = 16
-------------- +
2x = 48
x = 24
y = 8
2][
model matematika :
K = 110
K = 2(p + l)
p = l + 5
l = l
K = 110
2(p + l) = 110
p + l = 55
l + 5 + l = 55
2l = 50
l = 25 cm
p = l + 5 = 30 cm
3][
model matematika
buku = x
pensil = y
2x + 3y = 4000 || x 3 → 6x + 9y = 12000 ... (1)
3x + 2y = 4750 || x 2 → 6x + 4y = 9500 ... (2)
kurangkan persamaan (1) dan (2)
5y = 2500
y = harga pensil = 500
2x + 3y = 4000
2x = 2500
x = harga buku = 1250
Verified answer
1.(a)
x + y = 32
x - y = 16
(b)
x + y = 32
x - y = 16
_______ _
2y = 16
y = 16/2
y = 8
x + y = 32
x + 8 = 32
x = 32 - 8
x = 24
Jadi, bilangan" yg dimaksud adalah 24 dan 8.
2.
(a)
K = 110
2p + 2l = 110
p = 5 + l
l = l
(b)
K = 110
2p + 2l = 110
2(5 + l) + 2l = 110
10 + 2l + 2l = 110
4l = 110 - 10
4l = 100
l = 100/4
l = 25 cm
2p + 2l = 110
2p + 2(25) = 110
2p + 50 = 110
2p = 110 - 50
2p = 60
p = 60/2
p = 30 cm
3.
(a)
2x + 3y = 4.000
3x + 2y = 4.750
(b)
Misal : x = 1 buku, y = 1 pensil
2x + 3y = 4.000 |×3|
3x + 2y = 4.750 |×2|
6x + 9y = 12.000
6x + 4y = 9.500
_____________ _
5y = 2.500
y = 2.500/5
y = 500
2x + 3y = 4.000
2x + 3(500) = 4.000
2x + 1.500 = 4.000
2x = 4.000 - 1.500
2x = 2.500
x = 2.500/2
x = 1.250
Dit : Harga 4 buku dan 5 pensil
4x + 5y
= 4(1.250) + 5(500)
= 5.000 + 2.500
= 7.500
Jadi, harga 4 buah buku dan 5 buah pensil adalah Rp7.500,00
Semoga membantu :)
Maaf kalau ada yg salah.