himpunan penyelwsaian sisten persamaan p+q+r=12,2p-q+2r=12dan3p+2q-r=8 adalah{(p,q,r)} dengan p:q:r tolongg yaaa terimakasih

jawab

p + q + r= 12
2p - q + 2r =12...(+)
3p + 3r = 24
p + r = 8...(i)

sub ke p + q +r = 12
p+ r + q= 12
8 +q =12
q = 4

p + q + r = 12
3p+ 2q - r= 8....(+)
4p + 3q = 20

4p + 3(4) = 20
4p = 20-12 = 8
p= 2

p+ r =8
2 + r = 8
r= 6

p : q : r = (2) :(4) :(6) = 1 : 2 : 3