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Ap dung t/c day ti so bang nhau
ta co x+1/9=x+2/8=x+3/7=x+4/6=x+1-x-2-x-3+x+4 tat ca phan 9-8-7+6 =0
\(\frac{5}{8}-\frac{x}{3}=\frac{-1}{8}\)
\(\frac{x}{3}=\frac{3}{4}\)
\(x\div3=\frac{3}{4}\)
\(x=\frac{9}{4}\)
Vậy \(x=\frac{9}{4}\)
\(\frac{7}{9}-\frac{4}{x}=\frac{5}{18}\)
\(\frac{4}{x}=\frac{1}{2}\)
\(4\div x=\frac{1}{2}\)
\(x=8\)
Vậy \(x=8\)
\(\frac{1}{2}\left(x+1\right):\frac{3}{7}=\frac{32}{135}\)
\(\frac{1}{2}\left(x+1\right)=\frac{32}{135}.\frac{3}{7}\)
\(\frac{1}{2}\left(x+1\right)=\frac{32}{315}\)
\(x+1=\frac{32}{315}:\frac{1}{2}\)
\(x+1=\frac{64}{315}\)
\(x=\frac{64}{315}-1=-\frac{251}{315}\)
\(\frac{8}{23}\cdot\frac{46}{24}-x=\frac{1}{3}\)
=> \(\frac{2}{3}-x=\frac{1}{3}\)
=> \(x=\frac{1}{3}\)
\(\frac{10}{12}\div x=\frac{28}{9}\cdot\frac{3}{56}\)
=> \(\frac{10}{12}\div x=\frac{1}{6}\)
=> \(x=\frac{60}{12}=5\)
\(\frac{x-12}{4}=\frac{1}{2}\)
=> \(\left(x-12\right)\cdot2=4\cdot1\)
=> \(2x-24=4\)
=> \(2x=28\)
=> \(x=14\)
\(\frac{x+1}{10}+\frac{x+2}{9}=\frac{x+3}{8}+\frac{x+4}{7}\)
\(\frac{x+1}{10}+1+1+\frac{x+2}{9}=\frac{x+3}{8}+1+1+\frac{x+4}{7}\)
\(\Rightarrow\frac{x+11}{10}+\frac{x+11}{9}-\frac{x+11}{8}-\frac{x+11}{7}=0\)
\(\Rightarrow\left(x+1\right)\left(\frac{1}{10}+\frac{1}{9}-\frac{1}{8}-\frac{1}{7}\right)\)
\(\Rightarrow\hept{\begin{cases}\frac{1}{10}+\frac{1}{9}-\frac{1}{8}-\frac{1}{7}\ne0\\x+1=0\end{cases}}\)
\(\Rightarrow x=-1\)
\(\frac{x+1}{10}+\frac{x+2}{9}=\frac{x+3}{8}+\frac{x+4}{7}\)
<=> \(\left(\frac{x+1}{10}+1\right)+\left(\frac{x+2}{9}+1\right)=\left(\frac{x+3}{8}+1\right)+\left(\frac{x+4}{7}+1\right)\)
<=>\(\frac{x+11}{10}+\frac{x+11}{9}=\frac{x+11}{8}+\frac{x+11}{7}\)
<=> \(\frac{x+11}{10}+\frac{x+11}{9}-\frac{x+11}{8}-\frac{x+11}{7}=0\)
<=> \(x+11\left(\frac{1}{10}+\frac{1}{9}-\frac{1}{8}-\frac{1}{7}\right)=0\)
<=> x + 11 = 0 vì () \(\ne\)0
<=> x = -11
\(\frac{7+x}{8}=\frac{x-10}{3}\)
\(\Leftrightarrow3\left(7+x\right)=8\left(x-10\right)\)
\(\Leftrightarrow21+3x=8x-80\)
\(\Leftrightarrow3x-8x=-80-21\)
\(\Leftrightarrow-5x=-101\)
\(\Leftrightarrow x=\frac{101}{5}\)
\(\Rightarrow3\left(7+x\right)=8\left(x-10\right)\)
\(\Rightarrow21+3x=8x-80\)
\(\Rightarrow5x=101\)
\(\Rightarrow x=\frac{101}{5}\)