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\(\frac{x-1}{x+5}=\frac{6}{7}\)
\(\Rightarrow7\left(x-1\right)=6\left(x+5\right)\)
\(\Rightarrow7x-7=6x+30\)
\(\Rightarrow7x-6x=30+7\)
\(\Rightarrow x=37\)
\(\frac{x-2}{x-1}=\frac{x+4}{x+7}\)
\(\Rightarrow\left(x-2\right)\left(x+7\right)=\left(x+4\right)\left(x-1\right)\)
\(\Rightarrow x^2+7x-2x+14=x^2-x+4x-4\)
\(\Rightarrow x^2-x^2+7x-4x+x-2x=-14-4\)
\(\Rightarrow2x=-18\)
\(\Rightarrow x=-\frac{18}{2}=-9\)
\(\frac{1+0,6-\frac{3}{7}}{\frac{8}{3}+\frac{8}{5}-\frac{8}{7}}=\frac{\frac{3}{3}+\frac{3}{5}-\frac{3}{7}}{\frac{8}{3}+\frac{8}{5}-\frac{8}{7}}=\frac{3.\left(\frac{1}{3}+\frac{1}{5}-\frac{1}{7}\right)}{8.\left(\frac{1}{3}+\frac{1}{5}-\frac{1}{7}\right)}=\frac{3.1}{8.1}=\frac{3}{8}\)
\(\frac{\frac{1}{3}+0,25-\frac{1}{5}+0,125}{\frac{7}{6}+\frac{7}{8}-0,7+\frac{7}{16}}=\frac{\frac{1}{3}+\frac{1}{4}-\frac{1}{5}+\frac{1}{8}}{\frac{7}{6}+\frac{7}{8}-\frac{7}{10}+\frac{7}{16}}=\frac{1.\left(\frac{1}{3}+\frac{1}{4}-\frac{1}{5}+\frac{1}{8}\right)}{7.\left(\frac{1}{3}+\frac{1}{4}-\frac{1}{5}+\frac{1}{8}\right)}=\frac{1.1}{7.1}=\frac{1}{7}\)
=>\(\frac{3}{8}-\frac{1}{7}=\frac{13}{56}\)
\(A=\frac{7}{19}.\frac{8}{11}.\frac{7}{19}:\frac{3}{11}+\frac{12}{19}\)
\(A=\left(\frac{7}{19}\right)^2.\frac{8}{11}.\frac{11}{3}+\frac{12}{19}\)
\(\Rightarrow A=\left(\frac{7}{19}\right)^2.\frac{8}{3}+\frac{12}{19}\)
\(\Rightarrow A=\frac{392}{1083}+\frac{12}{19}\)
\(\Rightarrow A=\frac{1076}{1083}\)
\(A=\frac{56}{209}x\frac{7}{19}:\frac{3}{11}+\frac{12}{19}\)
\(A=\frac{392}{3971}:\frac{3}{11}+\frac{12}{19}\)
\(A=\frac{392}{1083}+\frac{12}{19}\)
\(A=\frac{1076}{1083}\)
a, \(1\frac{1}{2}.x-0,5x+20\%x=31\)
\(\frac{3}{2}x-\frac{1}{2}x+\frac{1}{5}x=31\)
\(x\left(\frac{3}{2}-\frac{1}{2}+\frac{1}{5}\right)=31\)
\(x.\frac{6}{5}=31\)
\(x=\frac{155}{6}\)
b, \(\frac{x-2}{7}=\frac{-7}{2-x}\)
\(\Rightarrow\frac{x-2}{7}=\frac{-7}{-\left(x-2\right)}\)
\(\Rightarrow-\left(x-2\right)\left(x-2\right)=7.\left(-7\right)=-49\)
\(\Rightarrow\left(x-2\right)^2=49=7^2\)
\(\Rightarrow\orbr{\begin{cases}x-2=7\\x-2=-7\end{cases}\Rightarrow}\orbr{\begin{cases}x=9\\x=-5\end{cases}}\)
a)\(\frac{x}{108}=\frac{-7}{9}.\frac{5}{6}\)
\(\frac{x}{108}=\frac{-35}{54}\)
\(\frac{x}{108}=\frac{-70}{108}\)
\(x=-70\)
b)
đề là j?tính A ak?hay cmr A là ps tối giản............????????????
???? câu hỏi đâu