`1/2 xx x +3/2 =7`
`=> 1/2 xx x = 7-3/2`
`=> 1/2 xx x = 14/2 -3/2`
`=> 1/2 xx x = 11/2`
`=> x= 11/2 :1/2`
`=> x=11/2 xx2`
`=> x= 22/2`
`=>x=11`
Vậy `x=11`
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`3/2 xx x -2/7 xx(x-7/2)=18`
`=> 3/2 xx x -2/7x + 1=18`
`=> (3/2 -2/7 )x+ 1 =18`
`=> 17/14 x=18-1`
`=> 17/14x=17`
`=>x=17:17/14`
`=> x=17 xx 14/17`
`=>x=14`
a) \(\dfrac{1}{2}\times x+\dfrac{3}{2}=7\)
\(\dfrac{1}{2}\times x=7-\dfrac{3}{2}\)
\(\dfrac{1}{2}\times x=\dfrac{11}{2}\)
\(x=\dfrac{11}{2}\div\dfrac{1}{2}\\ x=\dfrac{11}{2}\times2\\ x=\dfrac{22}{2}=11\)
b) \(\dfrac{3}{2}\times x-\dfrac{2}{7}\times\left(x-\dfrac{7}{2}\right)=18\)
\(\dfrac{3}{2}\times x-\left(\dfrac{2}{7}x-1\right)=18\)
\(\dfrac{3}{2}\times x-\dfrac{2}{7}x+1=18\)
\(\dfrac{3}{2}x-\dfrac{2}{7}x+1=18\)
\(\dfrac{17}{14}x+1=18\)
\(\dfrac{17}{14}x=18-1\)
\(\dfrac{17}{14}x=17\)
\(x=17\div\dfrac{17}{14}\)
\(x=17\times\dfrac{14}{17}\)
\(x=14\)
a) \(\dfrac{1}{2}\times x+\dfrac{3}{2}=7\)
\(\Leftrightarrow\dfrac{1}{2}\times x=7-\dfrac{3}{2}\)
\(\Leftrightarrow\dfrac{1}{2}\times x=\dfrac{11}{2}\)
\(\Leftrightarrow x=\dfrac{11}{2}:\dfrac{1}{2}\)
\(\Leftrightarrow x=\dfrac{11}{2}\times\dfrac{2}{1}\)
\(\Rightarrow x=11\)
b) \(\dfrac{3}{2}\times x-\dfrac{2}{7}\times\left(x-\dfrac{7}{2}\right)=18\)
\(\Leftrightarrow\dfrac{3}{2}\times x-\dfrac{7}{2}\times x+1=18\)
\(\Leftrightarrow\left(\dfrac{3}{2}-\dfrac{7}{2}\right)\times x+1=18\)
\(\Leftrightarrow\dfrac{17}{14}\times x=18-1\)
\(\Leftrightarrow\dfrac{17}{14}\times x=17\)
\(\Leftrightarrow x=17:\dfrac{17}{14}\)
\(\Leftrightarrow x=17\times\dfrac{14}{17}\)
\(\Rightarrow x=14\)