Question

Determine x,z e y nos sistemas a seguir:

A) x+y+z=34 e x/3=y/5=z/9


B) a+3b-2c=22 e a/3=b/4=c/2

Answer 1

Oi Dudinha

a)

x/3 = y/5 = z/9 = (x + y + z)/(3 + 5 + 9) = 34/17 = 2

x/3 = 2, x = 6
y/5 = 2, y = 10
z/9 = 2, z = 18 

b)

a/3 = b/4 = c/2 

3b = 4a
c = 2a/3

a + 4a - 4a/3 = 22
3a + 12a - 4a = 66
11a = 66
a = 6

b/4 = 6/3 = 2
b = 8

c/2 = 6/3 = 2
c = 4 

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