Tìm x biết:
13/15 - ( 13/21 + x ) . 7/12 = 7/10.
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a) \(\left(x+\frac{1}{4}-\frac{1}{3}\right):\left(2+\frac{1}{6}-\frac{1}{4}\right)=\frac{7}{46}\)
\(\left(x-\frac{1}{12}\right):\left(2-\frac{1}{12}\right)=\frac{7}{46}\)
\(\left(x-\frac{1}{12}\right):\frac{23}{12}=\frac{7}{46}\)
\(x-\frac{1}{12}=\frac{7}{46}.\frac{23}{12}\)
\(x-\frac{1}{12}=\frac{7}{24}\)
\(x=\frac{7}{24}+\frac{1}{12}\)
\(x=\frac{3}{8}\)
Vậy \(x=\frac{3}{8}\)
b) \(\frac{13}{15}-\left(\frac{13}{21}+x\right).\frac{7}{12}=\frac{7}{10}\)
\(\frac{13}{15}-\left(\frac{13}{21}+x\right)=\frac{7}{10}:\frac{7}{12}\)
\(\frac{13}{15}-\left(\frac{13}{21}+x\right)=\frac{7}{10}.\frac{12}{7}\)
\(\frac{13}{15}-\left(\frac{13}{21}+x\right)=\frac{6}{5}\)
\(\frac{13}{21}+x=\frac{13}{15}-\frac{6}{5}\)
\(\frac{13}{21}+x=\frac{-1}{3}\)
\(x=\frac{-1}{3}-\frac{13}{21}\)
\(x=\frac{-20}{21}\)
Vậy \(x=\frac{-20}{21}\)
\(\frac{13}{15}-\left(\frac{13}{21}+x\right).\frac{7}{12}=\frac{7}{10}\)
\(\frac{13}{15}-\left(\frac{13}{21}.\frac{7}{12}+\frac{7}{12}.x\right)=\frac{7}{10}\)
\(\frac{13}{15}-\left(\frac{13}{36}+\frac{7}{12}.x\right)=\frac{7}{10}\)
\(\frac{13}{15}-\frac{13}{36}-\frac{7}{12}.x=\frac{7}{10}\)
\(-\frac{7}{12}.x=\frac{7}{10}-\frac{13}{15}+\frac{13}{36}\)
\(-\frac{7}{12}.x=\frac{126}{180}-\frac{156}{180}+\frac{65}{180}\)
\(-\frac{7}{12}.x=\frac{7}{36}\)
\(x=\frac{7}{36}:\left(-\frac{7}{12}\right)\)
\(x=\frac{7}{36}.\frac{-12}{7}\)
\(x=\frac{-1}{3}\)
13/15 - (13/21 + x) . 7/12 = 7/10
=> (13/21 + x). 7/12 = 13/15 - 7/10
=> (13/21 + x) . 7/12 = 1/6
=> 13/21 + x = 1/6 : 7/12
=> 13/21 + x = 2/7
=> x = 2/7 - 13/21
=> x = -1/3