Question

Determinati numerele a,b si c direct proportionale cu 4;5 si 6 stiind ca 5a-3b+c=33

PLEASE!

Answer 1

a/4=b/5=c/6
a= 4b/5
c = 6b/5
inlocuim in ecuatie
5a-3b+c = 33
5×4b/5-3b+6b/5 = 33
4b-3b+6b/5 = 33
b+6b/5 = 33 |×5
5b+6b = 165
11b = 165
b = 165:11
b = 15
a = 4×15/5 = 60/5 = 12
c = 6×15/5 = 6×3 = 18

verificare:
12/4=15/5=18/6
3=3=3

Numerele sunt:
a = 12
b = 15
c = 18