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dacă 2a+5b+4c+1supra5a+7b+8c =2supra3,atunci 3supra a+b+c este egal cu:a) 1 b) 2 c) 3 d) 4​

Răspuns :

Răspuns:

2a+5b+4c+1/5a+7b+8c=2/3

a+b+c=?

=>2/3(5a+7b+8c)=2a+5b+4c+1

<=>4a/3+4c/3=b/3+1

<=>4a+4c-b=3=>a+c=b+3/4

=>a+b+c=b/4+b+3/4<=>a+b+c=2b+3/4

Explicație pas cu pas:

2a+5b+4c+1/5a+7b+8c=2/3

a+b+c=?

=>2/3(5a+7b+8c)=2a+5b+4c+1

<=>4a/3+4c/3=b/3+1

<=>4a+4c-b=3=>a+c=b+3/4

=>a+b+c=b/4+b+3/4<=>a+b+c=2b+3/4