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Tìm x, biết 2/3x-1/2=1/10

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  bởi Nguyễn Hoài Thương 15/11/2018
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Câu trả lời (1)

  • a) \(\dfrac{2}{3}x-\dfrac{1}{2}=\dfrac{1}{10}\)

    \(\dfrac{2}{3}x=\dfrac{1}{10}+\dfrac{1}{2}=\dfrac{3}{5}\)

    \(x=\dfrac{3}{5}:\dfrac{2}{3}=\dfrac{9}{10}\)

    b) \(\dfrac{39}{7}:x=13\)

    \(x=\dfrac{\dfrac{39}{7}}{13}=\dfrac{3}{7}\)

    c) \(\left(\dfrac{14}{5}x-50\right):\dfrac{2}{3}=51\)

    \(\dfrac{14}{5}x-50=51\cdot\dfrac{2}{3}=34\)

    \(\dfrac{14}{5}x=34+50=84\)

    \(x=\dfrac{84}{\dfrac{14}{5}}=30\)

    d) \(\left(x+\dfrac{1}{2}\right)\left(\dfrac{2}{3}-2x\right)=0\)

    \(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=0\\\dfrac{2}{3}-2x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=\dfrac{1}{3}\end{matrix}\right.\)

    e) \(\dfrac{2}{3}x-\dfrac{1}{2}x=\dfrac{5}{12}\)

    \(\dfrac{1}{6}x=\dfrac{5}{12}\)

    \(x=\dfrac{5}{12}:\dfrac{1}{6}=\dfrac{5}{2}\)

    g) \(\left(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\right)\dfrac{11}{5}-\dfrac{3}{7}=-2\)

    \(\left(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\right)\cdot\dfrac{11}{5}=-2+\dfrac{3}{7}=-\dfrac{11}{7}\)

    \(x\cdot\dfrac{44}{7}+\dfrac{3}{7}=-\dfrac{11}{7}:\dfrac{11}{5}=-\dfrac{5}{7}\)

    \(\dfrac{44}{7}x=-\dfrac{5}{7}-\dfrac{3}{7}=-\dfrac{8}{7}\)

    \(x=-\dfrac{8}{7}:\dfrac{44}{7}=-\dfrac{2}{11}\)

    h) \(\dfrac{13}{4}x+\left(-\dfrac{7}{6}\right)x-\dfrac{5}{3}=\dfrac{5}{12}\)

    \(\dfrac{25}{12}x-\dfrac{5}{3}=\dfrac{5}{12}\)

    \(\dfrac{25}{12}x=\dfrac{5}{12}+\dfrac{5}{3}=\dfrac{25}{12}\)

    \(x=1\)

    Mỏi tay woa bn làm nốt nha!!

      bởi DuyNguyễn NaKun 15/11/2018
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