a) 100 - 7 . (x - 5) = 58
7. (x - 5) = 100 - 58
7. (x - 5) = 42
x - 5 = 42 : 7
x - 5 = 6
x = 6 + 5
x = 11
b)\(x+\frac{1}{3}=\frac{7}{26}.\frac{13}{6}\)
\(x+\frac{1}{3}=\frac{7}{12}\)
\(x=\frac{7}{12}-\frac{1}{3}\)
\(x=\frac{3}{12}=\frac{1}{4}\)
c)\(\left(\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+............+\frac{1}{97.100}\right)x=\frac{98}{100}\)
\(\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...........+\frac{1}{97}-\frac{1}{100}\right)=\frac{98}{100}:x\)
\(\left(\frac{1}{2}-\frac{1}{100}\right)=\frac{98}{100}:x\)
\(\frac{49}{100}=\frac{98}{100}:x\)
\(x=\frac{98}{100}:\frac{49}{100}\)
x =2
@ Nguyen Chau Tuan Kiet @ Làm sai câu c rồi !
\(c,\text{ }\left(\frac{1}{2\cdot5}+\frac{1}{5\cdot8}+\frac{1}{8\cdot11}+...+\frac{1}{97\cdot100}\right)\cdot x=\frac{98}{100}\)
\(\frac{1}{3}\left(\frac{3}{2\cdot5}+\frac{3}{5\cdot8}+\frac{3}{8\cdot11}+...+\frac{3}{97\cdot100}\right)\cdot x=\frac{98}{100}\)
\(\frac{1}{3}\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{97}-\frac{1}{100}\right)\cdot x=\frac{98}{100}\)
\(\frac{1}{3}\cdot\left(\frac{1}{2}-\frac{1}{100}\right)\cdot x=\frac{98}{100}\)
\(\frac{1}{3}\cdot\frac{98}{100}\cdot x=\frac{98}{100}\)
\(\frac{98}{300}\cdot x=\frac{98}{100}\)
\(x=\frac{98}{100}\text{ : }\frac{98}{300}\)
\(x=3\)
Ukm Shizu
\(c,\text{ }\left(\frac{1}{2\cdot5}+\frac{1}{5\cdot8}+\frac{1}{8\cdot11}+...+\frac{1}{97\cdot100}\right)\cdot x=\frac{98}{100}\)
\(\frac{1}{3}\left(\frac{3}{2\cdot5}+\frac{3}{5\cdot8}+\frac{3}{8\cdot11}+...+\frac{3}{97\cdot100}\right)\cdot x=\frac{98}{100}\)
\(\frac{1}{3}\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{97}-\frac{1}{100}\right)\cdot x=\frac{98}{100}\)
\(\frac{1}{3}\cdot\left(\frac{1}{2}-\frac{1}{100}\right)\cdot x=\frac{98}{100}\)
\(\frac{1}{3}\cdot\frac{98}{100}\cdot x=\frac{98}{100}\)
\(\frac{98}{300}\cdot x=\frac{98}{100}\)
\(x=\frac{98}{100}\text{ : }\frac{98}{300}\)
\(x=3\)