Question

calcule a, b,c, onde a/2=b/3=c/5 e 2a+3b-c=150

Answer 1

2a+3b-c=150

-c=150-2a-3b
c=-150+2a+3b

a=(150-3b+c)2
a=75-3b+c

2a+3b+150+2a+3b=150
4a+6b=0
6b=4a
3b=2a

2(75-3b+c)+3b-c=150
150-6b+2c+3b-c=150
150-3b+c=150
3b = c

2a+3b-c=150
3b+3b-3b=150
3b=150
b=50

50/3 = a/2
3a = 100
a= 100/3
a=33,3

66,6+150-c=150
-c=-66,6 (-1)
c = 66,6

R: a = 33,3 ; b = 50 e c = 66,6