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\(\dfrac{4}{51}\times y+y+y\times\dfrac{47}{51}=\dfrac{5}{4}+\dfrac{1}{6}\\y\times\left(\dfrac{4}{51}+1+\dfrac{47}{51}\right)= \dfrac{17}{12}\\ y\times2=\dfrac{17}{12}\\ y=\dfrac{17}{24}\)
\(\left(y-5\right)-\left(y+5\right)+y\times5-y:5=5\\ y-5-y-5+y\times5-y:5=5\\ y\times5-y\times\dfrac{1}{5}=15\\ y\times\left(5-\dfrac{1}{5}\right)=15\\ y\times\dfrac{24}{5}=15\\ y=15:\dfrac{24}{5}=15\times\dfrac{5}{24}=\dfrac{25}{8}\)
y.5 + y : 1/2 + y : 1/3
= y.5 + y.2 + y.3
= y.(5 + 2 + 3)
= y.10
\(\Rightarrow y\times\left(2+\dfrac{1}{5}\right)=\dfrac{8}{5}\\ \Rightarrow y\times\dfrac{11}{5}=\dfrac{8}{5}\\ \Rightarrow y=\dfrac{8}{5}:\dfrac{11}{5}=\dfrac{8}{5}\times\dfrac{5}{11}=\dfrac{8}{11}\)
a. \(\frac{11}{4}-\frac{3}{y}=\frac{5}{14}\)
\(\frac{3}{y}=\frac{11}{4}-\frac{5}{14}\)
\(\frac{3}{y}=\frac{67}{28}\)
=> y x 67 = 3 x 28
y x 67 =84
y =\(\frac{84}{67}\)
b.Y x 0,7 - Y x 0,2 = 2,8
Y x ( 0,7 - 0,2 ) =2,8
Y x 0,5 =2,8
Y =5,6
\(\left(y-5\right)-\left(y-5\right)+y\cdot5-y:5=5\)
=>\(5y-0,2y=5\)
=>4,8y=5
=>\(y=\dfrac{25}{24}\)
\((y-5)-(y-5)+y\times5-y:5=5\\y\times5-y:5=5\\y\times5-y\times \dfrac{1}{5}=5\\y\times\bigg(5-\dfrac{1}{5}\bigg)=5\\y\times\dfrac{24}{5}=5\\y=5:\dfrac{24}{5}\\y=\dfrac{25}{24}\)