Question

Tentukan himpunan penyelesaian sistem persamaan berikut
1. 3m+4n=-2 dan m+3n=1
2. 2p+3q=16 dan p-q=12
3. 5c-2d=4 dan 4c+d=11

Answer 1

3m +4n = -2....(1)   
  m +3n =   1....(2)

m = -3n +1

3m + 4n = -2
3 (-3n+1) + 4 n = -2
-9n+1 +4n =-2
-9n+4n = -2-1
-5n =-3
n = -3/5  

m = -3n+1
= 3. (-3/5) + 1
= -9/15+1
= 6/15
= 2/5