Diketahui sistem persamaan 6a+6b=5ab, 10a+10c=7ac, dan 15b+15c=8bc. Nilai a x b x c adalah...
A. 24 B. 30 C.36 D.40
beserta cara
A. 24 B. 30 C.36 D.40
beserta cara
ImmanuelSinaga
![6(a+b)=5ab \\ 10(a+c)=7ac \\ 15(b+c)=8bc \\ \text{Di dapat :} \\ a = 2\\ b = 3\\ c = 5 \\ \text{Cara coba - coba } \\ 6(a+b)=5ab \\ ab=6 \\ a+b =5 \\ a=2 \ \ dan \ \ \ b = 3 \\ a \ \times \ b \ \times \ c \ = \ 2 \ \times \ 3 \ \times \ 5 \ = \ \bold{B.} \underline{30} \](https://tex.z-dn.net/?f=6%28a%2Bb%29%3D5ab+%5C%5C+10%28a%2Bc%29%3D7ac+%5C%5C+15%28b%2Bc%29%3D8bc+%5C%5C+%5Ctext%7BDi+dapat+%3A%7D+%5C%5C+a+%3D+2%5C%5C+b+%3D+3%5C%5C+c+%3D+5+%5C%5C+%5Ctext%7BCara+coba+-+coba+%7D+%5C%5C+6%28a%2Bb%29%3D5ab+%5C%5C+ab%3D6+%5C%5C+a%2Bb+%3D5+%5C%5C+a%3D2+%5C+%5C+dan+%5C+%5C+%5C+b+%3D+3+%5C%5C+a+%5C+%5Ctimes+%5C+b+%5C+%5Ctimes+%5C+c+%5C+%3D+%5C++2+%5C+%5Ctimes+%5C+3+%5C+%5Ctimes+%5C+5+%5C+%3D+%5C+%5Cbold%7BB.%7D+%5Cunderline%7B30%7D+%5C+ "6(a+b)=5ab \\ 10(a+c)=7ac \\ 15(b+c)=8bc \\ \text{Di dapat :} \\ a = 2\\ b = 3\\ c = 5 \\ \text{Cara coba - coba } \\ 6(a+b)=5ab \\ ab=6 \\ a+b =5 \\ a=2 \ \ dan \ \ \ b = 3 \\ a \ \times \ b \ \times \ c \ = \ 2 \ \times \ 3 \ \times \ 5 \ = \ \bold{B.} \underline{30} \")
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