Question

Cho \(\frac{5a-4b}{6}=\frac{6a-4c}{5}=\frac{6b-5c}{4}\)

CMR: \(\frac{c}{6}=\frac{b}{5}=\frac{a}{4}\)

Answer 1

\(\frac{\left(5a-4b\right)6}{36}=\frac{\left(6a-4c\right)5}{25}=\frac{\left(6b-5c\right)4}{16}=\frac{\left(5a-4b\right)6-\left(6a-4c\right)5+\left(6b-5c\right)4}{36-25+16}=\frac{0}{27}\)

\(\Rightarrow5a=4b\Leftrightarrow\frac{a}{4}=\frac{b}{5}\)

\(\Rightarrow6a=4c\Leftrightarrow\frac{a}{4}=\frac{c}{6}\)

\(\Rightarrow\frac{a}{4}=\frac{b}{5}=\frac{c}{6}\)

Answer 2

ờ, vậy chúc hai n` giải toán zui zẻ