Tìm y :
a/ 67845 – y = 29361
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a) 67845 – y = 29361
y = 678445 - 29361
y = 649034
b) y : 208 = 317
y = 317 x 208
y = 65936
a) 67845 – y = 29361
y = 678445 - 29361
y = 649034
b) y : 208 = 317
y = 317 x 208
y = 65936
( x + 1259 ) x 5 = 67845
( x + 1259 ) = 67845 : 5
( x + 1259 ) = 13569
x = 13569 - 1259
x = 12310
a) \(\dfrac{5}{y}=\dfrac{1}{2}\)
\(y=\dfrac{5\times2}{1}=10\)
b) \(\dfrac{42}{25}:\dfrac{y}{5}=\dfrac{6}{5}\)
\(\dfrac{y}{5}=\dfrac{42}{25}:\dfrac{6}{5}\)
\(\dfrac{y}{5}=\dfrac{7}{5}\)
\(y=7\)
Bài 5 :
a) \(\dfrac{y}{4}=\dfrac{9}{y}\)
\(\Rightarrow y^2=36\left(y\ne0\right)\)
\(\Rightarrow y=\pm6\)
b) \(\dfrac{y+7}{20}=\dfrac{5}{y+7}\left(y\ne-7\right)\)
\(\Rightarrow\left(y+7\right)^2=100=10^2\)
\(\Rightarrow\left[{}\begin{matrix}y+7=10\\y+7=-10\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}y=3\\y=-17\end{matrix}\right.\)
c) \(\dfrac{4-5y}{3}=\dfrac{y+2}{5}\)
\(\Rightarrow5\left(4-5y\right)=3\left(y+2\right)\)
\(\Rightarrow20-25y=3y+6\)
\(\Rightarrow28y=14\)
\(\Rightarrow y=\dfrac{14}{28}=\dfrac{1}{2}\)
Bài 4 :
\(\dfrac{a}{5}=\dfrac{b}{7}=\dfrac{c}{10}\)
\(\Rightarrow\dfrac{2a}{10}=\dfrac{3b}{21}=\dfrac{4c}{40}=\dfrac{2a+3b-4c}{10+21-40}=\dfrac{81}{-9}=-9\)
\(\Rightarrow\left\{{}\begin{matrix}a=-9.5=-45\\b=-9.7=-63\\c=-9.10=-90\end{matrix}\right.\)
a) y = 38 484