Question

Tolong!!!

Ini soal PLTV
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Answer 1

(p + q)(p + q + r) = 66

(q + r)(p + q + r) = 99

(p + r)(p + q + r) = 77

Ketiga persamaan mempunyai faktor yang sama yaitu (p + q + r)

Cari faktor persekutuan

66 = 2 x 3 x 11

99 = 3² x 11

77 = 7 x 11

Faktor persekutuan = 11

maka

p + q + r = 11

p + q = 66/11

p + q = 6

q + r = 99/11

q + r = 9

p + r = 77/11

p + r = 7

___________________________

p + q + r = 11

(p + q) + r = 11

6 + r = 11

r = 11 - 6

r = 5

q + r = 9

q + 5 = 9

q = 9 - 5

q = 4

p + r = 7

p + 5 = 7

p = 7 - 5

p = 2

jadi, p = 2, q = 4, r = 5