Question

Determine o conjunto solução do sistema:
x-y=30
logx-logy=log61

Answer 1

$\left \{ {{x-y=30} \atop {x/y=61}} \right. \left \{ {{x-y=30} \atop {log (x/y) = log 61}} \right.$

x = 30 + y
(30+y)/y = 61
30 + y = 61y
 30 = 60y

y = 1/2

x = 1/2 + 30 

x = 30,5