\(\frac{a+5}{a-5}=\frac{b+6}{b-6}\)
\(\Leftrightarrow\left(a+5\right).\left(b-6\right)=\left(a-5\right).\left(b+6\right)\)
\(\Leftrightarrow ab-6a+5b-30=ab+6a-5b-30\)
\(\Leftrightarrow12a=10b\)
\(\Leftrightarrow\frac{a}{b}=\frac{10}{12}=\frac{5}{6}\left(dpcm\right)\)
\(\frac{a+5}{a-5}=\frac{b+6}{b-6}\)
\(\Leftrightarrow\left(a+5\right)\left(b-6\right)=\left(b+6\right)\left(a-5\right)\)
\(\Leftrightarrow ab-6a+5b-30=ab+6a-5b-30\)
\(\Leftrightarrow ab-6a+5b-30-ab-6a+5b+30=0\)
\(\Leftrightarrow-12a+10b=0\)
\(\Leftrightarrow-\frac{b}{12}=-\frac{a}{10}\)
\(\Leftrightarrow\frac{b}{12}=\frac{a}{10}\)
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Làm tiếp bài của ヅViruSş ミ★Čøɾøŋα★彡
\(\frac{b}{12}=\frac{a}{10}\)<=> \(\frac{a}{b}=\frac{10}{12}=\frac{5}{6}\)
