a) X=6,Y=7

b) X=6

bạn có thể ghi bài này chi tiết hơn cho mình được không ?

trời ??? này mà là toán lớp 5 what???

(\(\frac{5}{7}-y\)) x \(\frac{14}{5}=\frac{6}{5}\)

\(\frac{5}{7}-y\)            = \(\frac{6}{5}:\frac{14}{5}\)

\(\frac{5}{7}-y\)             = \(\frac{3}{7}\)

            y                 = \(\frac{5}{7}-\frac{3}{7}\)

           y                  = \(\frac{2}{7}\)

\(\left(\frac{5}{7}-y\right)\cdot\frac{14}{5}=\frac{7}{10}+\frac{1}{2}\)

\(\Leftrightarrow\left(\frac{5}{7}-y\right)\cdot\frac{14}{5}=\frac{7}{10}+\frac{5}{10}\)

\(\Leftrightarrow\left(\frac{5}{7}-y\right)\cdot\frac{14}{5}=\frac{6}{5}\)

\(\Leftrightarrow\frac{5}{7}-y=\frac{6}{5}\div\frac{14}{5}\)

\(\Leftrightarrow\frac{5}{7}-y=\frac{3}{7}\)

\(\Rightarrow y=\frac{5}{7}-\frac{3}{7}=\frac{2}{7}\)

câu a để sau

b) x = 3; y = 5

Ta có:

15 : 3 = 5

Vậy x = 20 : 5 = 4

Ta lại có:

8 : 4 = 2

Vậy y = 3 x 2 = 6

x=4

y=6

           3 + \(\frac{3}{20}\)+   \(\frac{3}{13}\) + \(\frac{3}{2013}\)

X x                                                                =  \(\frac{5}{3}\)

            5 + \(\frac{5}{20}\) +  \(\frac{5}{13}\) + \(\frac{5}{2013}\)

          3 x ( 1 +  \(\frac{1}{20}\) + \(\frac{1}{13}\) + \(\frac{1}{2013}\) )

X  x                                                                        =  \(\frac{5}{3}\)

          5 x ( 1 + \(\frac{1}{20}\) +\(\frac{1}{13}\) +  \(\frac{1}{2013}\) ) 

X  x  \(\frac{3}{5}\) =   \(\frac{5}{3}\) => X =  \(\frac{25}{9}\) vậy X = \(\frac{25}{9}\)

Ta có  : \(X.\frac{3+\frac{3}{20}+\frac{3}{13}+\frac{3}{2013}}{5+\frac{5}{20}+\frac{5}{13}+\frac{5}{2013}}=\frac{5}{3}\)

\(\Leftrightarrow X.\frac{3\left(1+\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}{5\left(1+\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}=\frac{5}{3}\)

\(\Leftrightarrow X.\frac{3}{5}=\frac{5}{3}\Rightarrow X=\frac{5}{3}:\frac{3}{5}=\frac{5}{3}.\frac{5}{3}=\frac{25}{9}\)

\(=\frac{6\times\frac{5}{3}-\frac{7}{6}\times\frac{6}{7}}{\frac{21}{5}\times\frac{10}{11}+\frac{57}{11}}=\frac{10-1}{\frac{42}{11}+\frac{57}{11}}=\frac{9}{\frac{99}{11}}\)=1