Question

Diketahui spltv berikut p-q/2+r=14
2p+3q-r=5
P+3q-r/5=1
Rata-rata p, q, dan r adalah?

Answer 1

P - q/2 + r = 142p + 3q - r =5
p + 3q - r/5 =1

2p - q + 2r = 282p + 3q - r = 5
5p + 15q - 5r  = 5


2p - q + 2r = 282p + 3q - r = 5
-> -4q + 3r = 23

2p + 3q - r = 5
5p + 15q - 5r  = 5

10p + 15q - 5r = 25
10p + 30q - 10r = 10
-> -15q + 5r = 15

-4q + 3r = 23
-15q + 5r = 15

-20q + 15r = 115
-45q + 15r = 45
-> 25q = 70       q = 14/5

-20q + 15r = 115
-20(14/5) + 15r = 115
15r = 115 + 56
r = 57/5

2p + 3q - r = 5
2p  = 5 - 3(14/5) + (57/5)
2p = 25/5 - 42/5 + 57/5
2p = 40/5
p = 4

HP={4, 14/5, 57/5}