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1) \(\frac{1}{7}=\frac{8}{-x}\Rightarrow-x=7\cdot8\)
\(-x=56\)
\(x=-56\)
5) \(\left(x-2\frac{1}{4}\right):\left(-\frac{5}{6}\right)=3\)
\(x-\frac{9}{4}=3\cdot\left(-\frac{5}{6}\right)\)
\(x-\frac{9}{4}=-\frac{5}{2}\)
\(x=-\frac{5}{2}+\frac{9}{4}\)
\(x=-\frac{1}{4}\)
6) \(-8\left(4\frac{1}{5}\cdot x+\frac{3}{10}\right)=4\frac{4}{9}\)
\(-8\left(\frac{21}{5}x+\frac{3}{10}\right)=\frac{40}{9}\)
\(\frac{21}{5}x+\frac{3}{10}=\frac{40}{9}:\left(-8\right)\)
\(\frac{21}{5}x+\frac{3}{10}=-\frac{5}{9}\)
\(\frac{21}{5}x=-\frac{5}{9}-\frac{3}{10}\)
\(\frac{21}{5}x=-\frac{77}{90}\)
\(x=-\frac{77}{90}:\frac{21}{5}\)
\(x=-\frac{11}{54}\)
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a, \(\frac{17}{2}-\left|2x-\frac{3}{4}\right|=\frac{-7}{4}\)
\(\left|2x-\frac{3}{4}\right|=\frac{17}{2}-\frac{-7}{4}=\frac{17}{2}+\frac{7}{4}=\frac{34}{4}+\frac{7}{4}=\frac{41}{4}\)
TH1: \(2x-\frac{3}{4}=\frac{41}{4}\)
\(2x=\frac{41}{4}+\frac{3}{4}=11\)
\(x=11:2=5,5\)
TH2: \(2x-\frac{3}{4}=\frac{-41}{4}\)
\(2x=\frac{-41}{4}+\frac{3}{4}=\frac{-19}{2}\)
\(x=\frac{-19}{2}:2=\frac{-19}{2}.\frac{1}{2}=\frac{-19}{4}\)
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( 1 - x/599).(5 + 5/4 + 5/28 + ... + 5/22050)=2/3
(1- x/599).(5+5/1.4+5/4.7+...+5/147.150)=2/3
(1- x/599).(5+5-5/4+5/4-5/7+...+5/147-5/150).1/3=2/3
(1- x/599).(5+5-5/150)=2
(1- x/599).(10-5/150)=2
(1-x/599).299/30=2
1-x/599=2:299/30
1-x/599=60/299
x/599=1-60/299
x/599=239/299
x=239/299.599
x=143161/299
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câu a : \(\frac{1}{7}=\frac{8}{-x}\Rightarrow\frac{8}{56}=\frac{8}{-x}\)
\(\Rightarrow-x=56\)
\(\Rightarrow x=-56\)
câu b
\(\left(x-2\frac{1}{4}\right):\left(-\frac{5}{6}\right)=3\)
\(\Rightarrow x-2\frac{1}{4}=3.\left(-\frac{5}{6}\right)\)
\(\Rightarrow x-2\frac{1}{4}=\frac{-15}{6}\)
đến đây thực hiện tìm x dễ rồi
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a, ta có 6/x = 2x / 3
suy ra 6.3 = 2x.x
18 = 2x2
18/2 = x2
9 = x2
suy ra x = 3 hoặc x = -3
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a) 6/2X +1 = 2/7
=6 x 7 = 2(2x+1)
42=4X + 2
42 - 2 = 4X
40 = 4X
10 =X
\(\Leftrightarrow x+150=980.\frac{4}{5}+\frac{4}{5}.\left(-1\right)\)
\(\Leftrightarrow x+150=\frac{4}{5}.\left[980+\left(-1\right)\right]\)
\(\Leftrightarrow x+150=\frac{4}{5}.979\)
\(\Leftrightarrow x+150=783,2\)
\(\Leftrightarrow x=633,2\)