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\(y\times25\%+y\times\frac{3}{4}+y=20\)
\(\Rightarrow y\times\frac{25}{100}+y\times\frac{3}{4}+y=20\)
\(\Rightarrow y\times\frac{1}{4}+y\times\frac{3}{4}+y=20\)
\(\Rightarrow y\times(\frac{1}{4}+\frac{3}{4}+1)=20\)
\(\Rightarrow y\times2=20\)
\(\Rightarrow y=20\div2=10\)
y x 25% +y x 3/4 +y =20
y x25/100 + y x 3/4 + y =20
y x ( 25/100 + 3/4 + 1 ) =20
y x 2 =20
y =20 : 2
y = 10
\(\Leftrightarrow\) y\(\times\)1/4 + y \(\times\)1/2 + y \(\times\)1/4 + y= 20
\(\Leftrightarrow\)y\(\times\) ( 1/4+1/2+1/4+1)=20
\(\Leftrightarrow\) y\(\times\)2=20
\(\Leftrightarrow\) y=10
\(y+y.\frac{1}{3}.\frac{9}{2}+y.\frac{7}{2}=25\)
\(y+y.6+y.\frac{7}{2}=25\)
\(y.\left(1+6+\frac{7}{2}\right)=25\)
\(y.\frac{21}{2}=25\)
\(y=25:\frac{21}{2}\)
\(y=25.\frac{2}{21}\)
\(y=\frac{50}{21}\)
\(y.5+y.3+y+y=50\)
\(y.\left(5+3+1+1\right)=50\)
\(y.10=50\)
\(y=5\)
y + 78 x y + 25 x y - y x 4 = 78,6 + 121,4
y x ( 1 + 78 + 25 - 4 ) = 200
y x 100 = 200
y = 200 : 100
y = 2
\(a.\frac{Y}{3}=\frac{27}{Y}\Leftrightarrow\frac{Y^2}{3Y}=\frac{3.27}{3Y}\)
\(\Rightarrow Y^2=3.27=81\)
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 .....
\(a,5\frac{1}{4}+3,25-50\%+y=15,25\)
\(\Leftrightarrow5,25+3,25-\frac{50}{100}+y=15,25\)
\(\Leftrightarrow5,25+3,25-0,5+y=15,25\)
\(\Leftrightarrow8+y=15,25\)
\(\Leftrightarrow y=15,25-8=7,25\)
\(b,(y-3):2=2010\)
\(\Leftrightarrow y-3=4020\)
\(\Leftrightarrow y=4023\)
\(\dfrac{4}{3}\) = \(\dfrac{20}{4}\)\(x\) - 1
5\(x\) - 1 = \(\dfrac{4}{3}\)
5\(x\) = \(\dfrac{4}{3}\) + 1
5\(x\) = \(\dfrac{7}{3}\)
\(x\) = \(\dfrac{7}{3}\) : 5
\(x\) = \(\dfrac{7}{15}\)
b,
2\(\times\)\(x\) = 3\(\times\) y
\(x\) = \(\dfrac{3}{2}\) \(\times\) y
y - \(\dfrac{3}{2}\) \(\times\) y = 5
\(y\) \(\times\) ( 1 - \(\dfrac{3}{2}\)) = 5
\(y\) \(\times\) - \(\dfrac{1}{2}\) = 5
\(y\) = 5 : (-\(\dfrac{1}{2}\))
\(y\) = - 10
\(x\) = y - 5 = -10 - 5 =-15