Question

(5m-3n;-2m-6n)=(-8n+10;-12+m) determinar os números reais m e n

Answer 1

(5m-3n;-2m-6n)=(-8n+10;-12+m)


5m-3n = -8n+10 ==> 5m - 3n+8n = 10 ==> 5m + 5n = 10(:5)

-2m-6n = -12+m ==> -2m-m -6n = - 12 ==> - 3m - 6n = - 12(:3)


m + n = 2
-m - 2n = - 4 
     - n = - 2(-1) ==> n = 2

m = 2 - n ==> m = 2 - 2 ==> m = 0