Kerjakan dgn 3 metode :

Diketahui:

Harga 5 baju dan 5 celana = Rp 170.000,00.

Harga 4 baju dan 2 celana = Rp 102.000,00.

Ditanya:

Harga baju dan celana?

Jawaban:

Harga baju = Rp 17.000,00.

Harga celana = Rp 17.000,00.

Penjelasan dengan langkah-langkah:

Misalnya:

Baju = B.

Celana = C.

Barisannya adalah:

5B + 5C = 170000.

4B + 2C = 102000.

Metode substitusi:

5B + 5C = 170000

4B + 2C = 102000

5B = 170000 – 5C

4B + 2C = 102000

B = 34000 – C

4B + 2C = 102000

4(34000 – C) + 2C = 102000

136000 – 4C + 2C = 102000

-2C = -34000

C = Rp 17.000,00.

B = 34000 – 17000

B = Rp 17.000,00.

Metode eliminasi:

5B + 5C = 170000

4B + 2C = 102000

20B + 20C = 680000

-20B – 10C = -510000

10C = 170000

C = Rp 17.000,00.

5B + 5C = 170000

4B + 2C = 102000

10B + 10C = 340000

-20B – 10C = -510000

-10B = -170000

B = Rp 17.000,00.

Metode campuran:

5B + 5C = 170000

4B + 2C = 102000

20B + 20C = 680000

-20B – 10C = -510000

10C = 170000

C = Rp 17.000,00.

5B + 5(17000) = 170000

5B + 85000 = 170000

5B = 85000

B = Rp 17.000,00.

Atau,

4B + 2(17000) = 102000

4B + 34000 = 102000

4B = 68000

B = Rp 17.000,00.

Semoga Membantu.