\(a.\frac{Y}{3}=\frac{27}{Y}\Leftrightarrow\frac{Y^2}{3Y}=\frac{3.27}{3Y}\)
\(\Rightarrow Y^2=3.27=81\)
Do \(\orbr{\begin{cases}81=\left(-9\right)^2\\81=9^2\end{cases}\Rightarrow}\orbr{\begin{cases}Y=-9\\Y=9\end{cases}}\)
Vậy \(Y\in\left\{-9;9\right\}.\)
\(b.\frac{15}{Y}=\frac{Y}{9}\Leftrightarrow\frac{15.9}{Y.9}=\frac{Y^2}{9.Y}\)
\(\Rightarrow15.9=135=Y^2\)
Do \(\orbr{\begin{cases}135=\left(-\sqrt{135}\right)^2\\135=\sqrt{135}^2\end{cases}\Rightarrow}\orbr{\begin{cases}Y=-\sqrt{135}\\Y=\sqrt{135}\end{cases}}\)
Vậy \(Y\in\left\{-\sqrt{135};\sqrt{135}\right\}.\)
\(c.\frac{15}{48}:y=\frac{10}{4}\)
\(\Rightarrow y=\frac{15}{48}:\frac{10}{4}=\frac{1}{8}\)
Vậy \(y=\frac{1}{8}.\)
\(d.\frac{20}{y}.9=\frac{60}{135}\)
\(\Rightarrow\frac{20}{y}=\frac{60}{135}:9=\frac{20}{135}\)
\(\Leftrightarrow y=135\)
Vậy \(y=135.\)
\(e.\frac{16}{Y}=\frac{Y}{9}\Leftrightarrow\frac{16.9}{Y.9}=\frac{Y^2}{Y.9}\)
\(\Rightarrow16.9=144=Y^2\)
Do \(\orbr{\begin{cases}144=\left(-12\right)^2\\144=12^2\end{cases}\Rightarrow\orbr{\begin{cases}Y=-12\\Y=12\end{cases}}}\)
Vậy \(Y\in\left\{-12;12\right\}\)
\(g.\frac{25}{Y}=\frac{Y}{9}\Leftrightarrow\frac{25.9}{Y.9}=\frac{Y^2}{9.Y}\)
\(\Rightarrow25.9=225=Y^2\)
Do \(\orbr{\begin{cases}225=\left(-15\right)^2\\225=15^2\end{cases}\Rightarrow\orbr{\begin{cases}Y=-15\\Y=15\end{cases}}}\)
Vậy \(Y\in\left\{-15;15\right\}.\)
\(h.y-\frac{12}{42}=\frac{10}{12}\)
\(\Rightarrow y=\frac{10}{12}+\frac{12}{42}=\frac{47}{42}\)
Vậy \(Y=\frac{47}{42}.\)
\(i.y+\frac{5}{30}=\frac{18}{2}\)
\(\Rightarrow y=\frac{18}{2}-\frac{5}{30}=\frac{53}{54}\)
Vậy \(y=\frac{53}{54}.\)
mấy câu này gần như là giống nhau nên mik giải 1 câu rồi bạn dựa theo mà giải tiếp nha
y/3 = 27/y => y2 = 3 . 27
=> y2 = 81 => y = 9 hoặc -9
vậy .....