Question

[Duong Thi Nhuong]

Cho \(\frac{2a}{3}=\frac{3b}{4}=\frac{4c}{5}\) và a - b + 2c = 6

Answer 1

[phan thị minh anh]

Ta có :\(\frac{2a}{3}=\frac{3b}{4}=\frac{4c}{5}\)

\(\frac{a}{\frac{3}{2}}=\frac{b}{\frac{4}{3}}=\frac{2c}{\frac{5}{2}}\) \(=\frac{a-b+2c}{\frac{3}{2}-\frac{4}{3}+\frac{5}{2}}\)\(=\frac{6}{\frac{8}{3}}=\frac{9}{4}\)

\(\begin{cases}a=\frac{27}{8}\\b=3\\c=\frac{45}{8}\end{cases}\)