\(5\dfrac{1}{3}-y:\dfrac{3}{4}+\dfrac{2}{3}=5\dfrac{1}{6}\\ 5\dfrac{1}{3}-\text{Y}:\dfrac{3}{4}=5\dfrac{1}{6}-\dfrac{2}{3}\\ y:\dfrac{3}{4}=\dfrac{9}{2}+5\dfrac{1}{3}\\ y:\dfrac{3}{4}=\dfrac{59}{6}\\ \text{Y}=\dfrac{59}{6}x\dfrac{3}{4}\\ \text{Y}=\dfrac{59}{8}\)
Yx13,5+Y:0,5-Y:0,25=2024
Yx13,5+Yx2-Yx4=2024
Yx(13,5+2-4)=2024
Yx11,5=2024
Y=176
`#3107.101107`
`a,`
\(5\dfrac{1}{3}-Y\div\dfrac{3}{4}+\dfrac{2}{3}=5\dfrac{1}{6}\)
\(\dfrac{16}{3}-Y\times\dfrac{3}{4}=\dfrac{31}{6}-\dfrac{2}{3}\)
\(\dfrac{16}{3}-Y\times\dfrac{3}{4}=\dfrac{9}{2}\)
\(Y\times\dfrac{3}{4}=\dfrac{16}{3}-\dfrac{9}{2}\)
\(Y\times\dfrac{3}{4}=\dfrac{5}{6}\)
\(Y=\dfrac{5}{6}\div\dfrac{3}{4}\)
\(Y=\dfrac{10}{9}\)
Vậy, \(Y=\dfrac{10}{9}\)
`b,`
\(Y\times13,5+Y\div0,5-Y\div0,25=2024\)
\(Y\times13,5+Y\div\dfrac{1}{2}-Y\div\dfrac{1}{4}=2024\\ Y\times13,5+Y\times2-Y\times4=2024\\ Y\times\left(13,5+2-4\right)=2024\\ Y\times11,5=2024\\ Y=2024\div11,5\\ Y=176\)
Vậy, `Y = 176.`
