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Jika 2 x − y = − 1 , 3 x − 2 y = − 3 , a x − 2 y = 4 b , dan 4 x − a y = 2 b , maka a + b = ....

Jika  dan , maka a + b = .... 

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M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

a + b = 2 + (-1) = 1.

a + b = 2 + (-1) = 1.

Pembahasan

Kemudian a(1) - 2(3) = 4b a - 6 = 4b a - 4b = 6 a = 4b + 6 ..........(1) dan 4(1) - a(3) = 2b 4 - 3a = 2b 3a + 2b = 4 ..........(2) Substitusi persamaan (1) ke persamaan (2) 3(4b + 6) + 2b = 4 12b + 18 + 2b = 4 14b = -14 b = -1 Lalu a = 4(-1) + 6 = 2 Jadi, a + b = 2 + (-1) = 1.

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Kemudian
a(1) - 2(3) = 4b
a - 6 = 4b
a - 4b = 6
a = 4b + 6 ..........(1)

dan
4(1) - a(3) = 2b
4 - 3a = 2b
3a + 2b = 4 ..........(2)

Substitusi persamaan (1) ke persamaan (2)
3(4b + 6) + 2b = 4
12b + 18 + 2b = 4
14b = -14
b = -1

Lalu a = 4(-1) + 6 = 2

Jadi, a + b = 2 + (-1) = 1.

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