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a fost răspuns

Aflati valoarea expresii 4a+7b+6c,stiind ca a+b=16 si b+2c=28

Răspuns :

Miha1107
Se inmulteste a+b=16 cu 4 si obtinem:
a+b=16|×4⇒4a+4b=64
Se inmulteste b+2c=28 cu 3 si obtinem:
b+2c=28|×3⇒3b+6c=84
adunam cele doua egalitati si vom avea:
4a+4b+3b+6c=148
4a+7b+6c=148
[tex]4a+7b+6c=? \\ a+b=16| \cdot 4 \\ b+2c=28| \cdot 3 \\ 4a+4b=64 \\ 3b+6c=84 \\ 4a+4b+3b+6c=64+84 \\ 4a+7b+6c=64+84 \\ \boxed{4a+7b+6c=148}[/tex]

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