tentukan himpunan penyelesaian di bawah ini: a. 2a +3b=13 dan 5a-3b=22 b. 2p+ 3q-8=0 dan 3p+2q-7=0

SPLDV

a][
2a + 3b = 13
5a - 3b = 22
------------------ ( + )
7a = 35
a = 35/7
a = 5

2a + 3b = 13
2.5 + 3b = 13
3b = 13 - 10
b = 1

HP (a,b) = {(5,1)}

b][
2p + 3q = 8 || × 3
6p + 9q = 24

3p + 2q = 7 || × 2
6p + 4q = 14

6p + 9p = 24
6p + 4q = 14
-------------------- ( - )
5q= 10
q = 2

2p + 3q = 8
2p = 8 - 3q
2p = 8 - 3.2
2p = 2
p = 1

HP (p,q) = {(1,2)}