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31 tháng 8 2020
\(2\frac{3}{4}x=3\frac{1}{7}:0,01\)
=> \(\frac{11}{4}x=\frac{22}{7}:\frac{1}{100}\)
=> \(x=\frac{\frac{22}{7}\cdot100}{\frac{11}{4}}=\frac{\frac{2200}{7}}{\frac{11}{4}}=\frac{2200}{7}\cdot\frac{4}{11}=\frac{800}{7}\)
\(2\frac{1}{3}:\frac{1}{3}=\frac{7}{9}:x\)
=> \(\frac{7}{3}:\frac{1}{3}=\frac{7}{9}:x\)
=> \(\frac{7}{3}\cdot\frac{3}{1}=\frac{7}{9}:x\)
=> \(\frac{7}{9}:x=7\)
=> \(x=\frac{7}{9}:7=\frac{7}{9}\cdot\frac{1}{7}=\frac{1}{9}\)
\(3,2x+\left(-1,2\right)x+2,7=-4,9\)
=> \(\left[3,2+\left(-1,2\right)\right]x=-7,6\)
=> 2.x = -7,6
=> x = -3,8
\(x:\frac{9}{14}=\frac{7}{3}:x\)
=> \(x\cdot\frac{14}{9}=\frac{7}{3}\cdot\frac{1}{x}\)
=> \(\frac{14x}{9}=\frac{7}{3x}\)
nên sửa lại đề này
\(\frac{37-x}{x+13}=\frac{3}{7}\)
=> 7(37 - x) = 3(x + 13)
=> 259 - 7x = 3x + 39
=> 259 - 7x - 3x - 39 = 0
=> 220 - 10x = 0
=> 220 = 10x
=> x = 22
\(\frac{x}{15}=\frac{-60}{x}\)=> x2 = -900 => x không thỏa mãn
31 tháng 8 2020
a) \(2\frac{3}{4}.x=3\frac{1}{7}:0,01\)
\(=>2\frac{3}{4}.x=2200=>\frac{11}{4}x=2200=>x=800\)
b) \(2\frac{1}{3}:\frac{1}{3}=\frac{7}{9}:x\)
\(=>7=\frac{7}{9}:x\)
hay \(\frac{7}{9}:x=7=>x=\frac{1}{9}\)
c) \(3,2x+\left(-1,2\right)x+2,7=-4,9\)
\(=>2x+2,7=-4,9\)
\(=>2x=-7,6=>x=-3,8\)
d) \(x:\frac{9}{14}=\frac{7}{3}:x\)
\(=>x.x=\frac{7}{3}.\frac{9}{14}\)
\(=>x^2=\frac{3}{2}\)
....................( ko hiểu)
e) \(\frac{37-x}{x+13}=\frac{3}{7}\)
\(=>7.\left(37-x\right)=3.\left(x+13\right)\)
\(=>259-7x=3x+39\)
\(-7x-3x=39-269\)
\(=>-10x=-220=>x=22\)
f) \(\frac{x}{15}=\frac{-60}{x}\)
\(=>x.x=-60.15=>x^2=-900=>x=-30\)
cậu có thể tham khảo bài alfm trên đây ạ, chúc học tốt:>
6 tháng 6 2016
a) (x + 1/2) . (2/3 − 2x) = 0
\(\Rightarrow\left[\begin{array}{nghiempt}x+\frac{1}{2}=0\\\frac{2}{3}-2x=0\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=-\frac{1}{2}\\2x=\frac{2}{3}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=-\frac{1}{2}\\x=\frac{1}{3}\end{array}\right.\)
b) \(\left(x.6\frac{2}{7}+\frac{3}{7}\right).2\frac{1}{5}-\frac{3}{7}=-2\)
\(\Rightarrow\left(x.\frac{44}{7}+\frac{3}{7}\right).\frac{11}{5}=-2+\frac{3}{7}\)
\(\Rightarrow\left(x.\frac{44}{7}+\frac{3}{7}\right).\frac{11}{5}=-\frac{11}{7}\)
\(\Rightarrow x.\frac{44}{7}+\frac{3}{7}=-\frac{11}{7}:\frac{11}{5}=-\frac{11}{7}.\frac{5}{11}\)
\(\Rightarrow x.\frac{44}{7}+\frac{3}{7}=-\frac{5}{7}\)
\(\Rightarrow x.\frac{44}{7}=-\frac{5}{7}-\frac{3}{7}\)
\(\Rightarrow x.\frac{44}{7}=-\frac{8}{7}\)
\(\Rightarrow x=-\frac{8}{7}:\frac{44}{7}=-\frac{8}{7}.\frac{7}{44}\)
\(\Rightarrow x=-\frac{2}{11}\)
6 tháng 6 2016
c) \(x.3\frac{1}{4}+\left(-\frac{7}{6}\right).x-1\frac{2}{3}=\frac{5}{12}\)
\(\Rightarrow x\left(3\frac{1}{4}-\frac{7}{6}\right)=\frac{5}{12}+\frac{5}{3}\)
\(\Rightarrow x\left(\frac{13}{4}-\frac{7}{6}\right)=\frac{25}{12}\)
\(\Rightarrow x.\frac{25}{12}=\frac{25}{12}\)
\(\Rightarrow x=\frac{25}{12}:\frac{25}{12}\)
\(\Rightarrow x=1\)
d) \(5\frac{8}{17}:x+\left(-\frac{4}{17}\right):x+3\frac{1}{7}:17\frac{1}{3}=\frac{4}{11}\)
\(\Rightarrow\left(5\frac{8}{17}-\frac{4}{17}\right):x+\frac{22}{7}:\frac{52}{3}=\frac{4}{11}\)
\(\Rightarrow5\frac{4}{17}:x+\frac{33}{182}=\frac{4}{11}\)
\(\Rightarrow\frac{89}{17}:x=\frac{4}{11}-\frac{33}{182}\)
\(\Rightarrow\frac{89}{17}:x=\frac{365}{2002}\)
\(\Rightarrow x=\frac{89}{17}:\frac{365}{2002}\)
\(\Rightarrow x\approx28,7\) (số hơi lẻ)
e) \(\frac{17}{2}-\left|2x-\frac{3}{4}\right|=-\frac{7}{4}\)
\(\Rightarrow\left|2x-\frac{3}{4}\right|=\frac{17}{2}+\frac{7}{4}\)
\(\Rightarrow\left|2x-\frac{3}{4}\right|=\frac{41}{4}\)
\(\Rightarrow\left[\begin{array}{nghiempt}2x-\frac{3}{4}=\frac{41}{4}\\2x-\frac{3}{4}=-\frac{41}{4}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}2x=11\\2x=-\frac{19}{2}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=\frac{11}{2}\\x=-\frac{19}{4}\end{array}\right.\)
KN
11 tháng 4 2019
a) \(\frac{1}{4}+\frac{1}{3}\div\left(2x-1\right)=-5\)
\(\Leftrightarrow\frac{1}{3}\div\left(2x-1\right)=-5-\frac{1}{4}\)
\(\Leftrightarrow\frac{1}{3}\div\left(2x-1\right)=\frac{-20}{4}-\frac{1}{4}\)
\(\Leftrightarrow\frac{1}{3}\div\left(2x-1\right)=\frac{-21}{4}\)
\(\Leftrightarrow\left(2x-1\right)=\frac{1}{3}\div\frac{-21}{4}\)
\(\Leftrightarrow\left(2x-1\right)=\frac{-4}{63}\)
\(\Leftrightarrow2x=\frac{-4}{63}+1\)
\(\Leftrightarrow2x=\frac{-4}{63}+\frac{63}{63}\)
\(\Leftrightarrow2x=\frac{59}{63}\)
\(\Leftrightarrow x=\frac{59}{63}\div2\)
\(\Leftrightarrow x=\frac{59}{126}\)
KN
11 tháng 4 2019
b) \(-\left(5\frac{3}{8}+x-7\frac{5}{24}\right)\div2019\frac{11}{37}=0\)
\(\Leftrightarrow-\left(5\frac{3}{8}+x-7\frac{5}{24}\right)=0.2019\frac{11}{37}\)
\(\Leftrightarrow-5\frac{3}{8}-x+7\frac{5}{24}=0\)
\(\Leftrightarrow\frac{-43}{8}-x+\frac{173}{24}=0\)
\(\Leftrightarrow\frac{-129}{24}-x+\frac{173}{24}=0\)
\(\Leftrightarrow-x+\frac{44}{24}=0\)
\(\Leftrightarrow x=\frac{44}{24}-0\)
\(\Leftrightarrow x=\frac{44}{24}=\frac{11}{6}\)
17 tháng 7 2016
a, \(\frac{1}{6}x+\frac{1}{10}-\frac{4}{15}x+1=0\)
\(\Leftrightarrow-\frac{1}{10}x=-\frac{11}{10}\)
\(\Leftrightarrow x=11\)
b,\(\left(\frac{1}{7}x-\frac{2}{7}\right)\left(-\frac{1}{5}x+\frac{3}{5}\right)\left(\frac{1}{3}x+\frac{4}{3}\right)=0\)
\(\Leftrightarrow\frac{1}{7}x-\frac{2}{7}=0\)hoặc \(-\frac{1}{5}x+\frac{3}{5}=0\)hoặc \(\frac{1}{3}x+\frac{4}{3}=0\)
+) \(\frac{1}{7}x-\frac{2}{7}=0\Leftrightarrow\frac{1}{7}x=\frac{2}{7}\Leftrightarrow x=2\)
+)\(-\frac{1}{5}x+\frac{3}{5}=0\Leftrightarrow-\frac{1}{5}x=-\frac{3}{5}\Leftrightarrow x=3\)
+)\(\frac{1}{3}x+\frac{4}{3}=0\Leftrightarrow\frac{1}{3}x=-\frac{4}{3}\Leftrightarrow x=-4\)
c, \(\frac{1}{2}x-\frac{11}{15}:\frac{33}{35}=-\frac{1}{3}\)
\(\Leftrightarrow\frac{1}{2}x-\frac{7}{9}=-\frac{1}{3}\)
\(\Leftrightarrow\frac{1}{2}x=\frac{4}{9}\)
\(\Leftrightarrow x=\frac{8}{9}\)
NV
17 tháng 7 2016
a/ \(\frac{1}{6}x+\frac{1}{10}-\frac{4}{15}x+1=0\)
\(\Rightarrow-\frac{1}{10}x=-\frac{11}{10}\)
\(\Rightarrow x=11\)
b/ \(\left(\frac{1}{7}x-\frac{2}{7}\right)\left(-\frac{1}{5}x+\frac{3}{5}\right)\left(\frac{1}{3}x+\frac{4}{3}\right)=0\)
\(\Rightarrow\frac{1}{7}x-\frac{2}{7}=0\Rightarrow\frac{1}{7}x=\frac{2}{7}\Rightarrow x=2\)
hoặc \(-\frac{1}{5}x+\frac{3}{5}=0\Rightarrow-\frac{1}{5}x=-\frac{3}{5}\Rightarrow x=3\)
hoặc \(\frac{1}{3}x+\frac{4}{3}=0\Rightarrow\frac{1}{3}x=-\frac{4}{3}\Rightarrow x=-4\)
Vậy x = 2, x = 3, x = -4
c/ \(\frac{1}{2}x-\frac{11}{15}:\frac{33}{35}=-\frac{1}{3}\)
\(\Rightarrow\frac{1}{2}x-\frac{7}{9}=-\frac{1}{3}\)
\(\Rightarrow\frac{1}{2}x=\frac{4}{9}\Rightarrow x=\frac{8}{9}\)
Vậy x = 8/9