" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Verified answer
Mapel : MatematikaBab : Sistem Persamaan Linear Dua Variabel
Diketahui :
- Telur = a
- Ayam = b
- 2a + b = 30.000
- 2 1/2a + 2b = 48.000
Ditanya :
- Nilai 3 1/2a + 4 1/2b = .....?
Penyelesaian :
- Nilai a :
2a + b = 30.000
b = 30.000 - 2a
2 1/2a + 2b = 48.000
5/2a + 2(30.000 - 2a) = 48.000
5/2a + 60.000 - 4a = 48.000
2(5/2a + 60.000 - 4a = 48.000)
5a + 120.000 - 8a = 96.000
5a - 8a = 96.000 - 120.000
- 3a = - 24.000
a = - 24.000/- 3
a = 8.000
- Nilai b :
b = 30.000 - 2a
b = 30.000 - 2(8.000)
b = 30.000 - 16.000
b = 14.000
- Nilai 3 1/2a + 4 1/2b :
3 1/2a + 4 1/2b
= 7/2a + 9/2b
= 7/2(8.000) + 9/2(14.000)
= 28.000 + 63.000
= 91.000
Maaf Kalau Salah
Verified answer
Soal2 kg telur + 1 kg ayam = 30.000
2 1/2 kg telur + 2 kg ayam = 48.000
maka harga 3 1/2 kg telur + 4 1/2 kg ayam = ...
Penyelesaian
telur = x
ayam = y
mencari nilai y menggunakan metode eliminasi
2x + 1y = 30.000 | × 2
2 1/2x + 2y = 48.000 | × 1
________________ -
4x + 2y = 60.000
2 1/2x + 2y = 48.000
________________ -
3/2x = 12.000
x = 12.000 / 3/2
x = 8.000
mencari nilai x mengunakan metode subsitusi
2x + 1y = 30.000
2(8.000) + 1y = 30.000
16.000 + 1y = 30.000
y = 14.000
Maka nilai dari 3 1/2x + 4 1/2y
= 7/2(8.000) + 9/2(14.000)
= 28.000 + 63.000
= 91.000
Maka harga 3 1/2 kg telur + 4 1/2 kg ayam = Rp.91.000