Question

Penyelesaian dari 1/2 (m+3n) = 2 1/2 dan 2/3(2m-n) = -2 2/3 adalah

Answer 1

1/2 (m + 3n) = 2 1/2
1/2 (m + 3n) = 5/2 .......(kali 2)
m + 3n = 5
m = 5 - 3n ........(1)

2/3 (2m - n) = -2 2/3
2/3 (2m - n) = -8/3......(kali 3)
2(2m - n) = -8
4m - 2n = -8.......(2)
masukkan persamaan (1) ke persamaan (2)
4(5 - 3n) - 2n = -8
20 - 12n - 2n = -8
-14n = -8 - 20
n = (-28)/(-14) = 2

m = 5 - 3(2) = 5 - 6 = -1