Question

3a+16b=54
a=?
b=?

Va rog, am nevoie repede​

Answer 1

3a+16b=54 ⇔ 3a=54-16b=M₃-16b ⇒ b=M₃, fie k ∈ N, a.i.

b=3k, 3a+16·3k=54║:3 ⇒ a+16k=18, in mod evident k=1 ⇒ b=3 de unde

a va fi 18-16=2.

(a,b)∈{(2,3)}.