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aflati valoarea expresiei 3m+8n+10p stiind ca m+n=18 si n+2p=24 Va rog !

Răspuns :

m+n=18 => m=18-n

n+2p=24=>n=24-2p

m=18-(24-2p)

3m+8n+10p=3(18-24+2p)+8(24-2p)+10p=54-72+6p+192-16p+10p=

=192+54-72+6p-16p+10p=174+0=174

3m+8n+10p=174

3m + 8n + 10p
=3×(m+n)+5×(n+2p)
=3×18+5×24
=54+120
=174