tìm x:
\(x+7\frac{4}{5}=9\frac{7}{15}\) ; \(x-4\frac{9}{11}=\frac{2121}{2222}\)
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\(a)\frac{1}{3}+\frac{-2}{5}+\frac{1}{6}+\frac{-1}{5}\le x< \frac{-3}{4}+\frac{2}{7}+\frac{-1}{4}+\frac{3}{5}+\frac{5}{7}\)
\(\Rightarrow\frac{1}{3}+\frac{1}{6}+\frac{-2}{5}+\frac{-1}{5}\le x< \frac{-3}{4}+\frac{-1}{4}+\frac{2}{7}+\frac{5}{7}+\frac{3}{5}\)
\(\Rightarrow\frac{2}{6}+\frac{1}{6}+\frac{-3}{5}\le x< -1+1+\frac{3}{5}\)
\(\Rightarrow\frac{1}{2}+\frac{-3}{5}\le x< \frac{3}{5}\)
\(\Rightarrow\frac{-1}{10}\le x< \frac{6}{10}\)
\(\Rightarrow-1\le x< 6\)
\(\Rightarrow x\in\left\{-1;0;1;2;3;4;5\right\}\)
Bài b tương tự
a)
\(\begin{array}{l}x - \left( { - \frac{7}{9}} \right) = - \frac{5}{6}\\x + \frac{7}{9} = - \frac{5}{6}\\x = - \frac{5}{6} - \frac{7}{9}\\x = - \frac{{15}}{{18}} - \frac{{14}}{{18}}\\x = \frac{{ - 29}}{{18}}\end{array}\)
Vậy \(x = \frac{{ - 29}}{{18}}\).
b)
\(\begin{array}{l}\frac{{15}}{{ - 4}} - x = 0,3\\x = \frac{{15}}{{ - 4}} - 0,3\\x = - 3,75 - 0,3\\x = - 4,05\end{array}\)
Vậy \(x = - 4,05\).
Câu a:
(x -15) : 5 + 22 = 24
(x -15) : 5 = 24 - 22
(x -15) : 5 = 2
x - 15 = 2 x 5
x - 15 = 10
x = 10 + 15
x = 25
Vậy x = 25
Câu b:
|x + 7| = 15 - (-4)
|x + 7| = 15 + 4
|x + 7| = 19
X + 7 = 19 hoặc x + 7 = -19
TH1:
x + 7 = 19
x = 19 - 7
x = 12
TH2:
x + 7 = - 19
x = -19 - 7
x = - 26
Vậy x ∈ {12; -26}
a ) \(x+7\frac{4}{5}=9\frac{7}{15}\)
\(x+\frac{39}{5}=\frac{142}{15}\)
\(x=\frac{142}{15}-\frac{39}{5}\)
\(x=\frac{5}{3}\)
b ) \(x-4\frac{9}{11}=\frac{2121}{2222}\)
\(x-\frac{53}{11}=\frac{21}{22}\)
\(x=\frac{21}{22}+\frac{53}{11}\)
\(x=\frac{127}{22}\)
a, (x-15):5+22=24
( x - 15 ) : 5 = 2
x-15 = 10
x = 25
Câu a:
(x -15) : 5 + 22 = 24
(x -15) : 5 = 24 - 22
(x -15) : 5 = 2
x - 15 = 2 x 5
x - 15 = 10
x = 10 + 15
x = 25
Vậy x = 25
\(2009-\left(4\frac{5}{9}+x-7\frac{7}{8}\right):15\frac{3}{2}=2008\)
\(\Leftrightarrow2009-\left(\frac{41}{9}+x-\frac{63}{8}\right):\frac{33}{2}=2008\)
\(\Leftrightarrow2009-\left(x-\frac{239}{72}\right):\frac{33}{2}=2008\)
\(\Leftrightarrow2009-\frac{2x}{33}+\frac{239}{1188}=2008\)
\(\Leftrightarrow\frac{-2x}{33}=\frac{-1427}{1188}\)
\(\Leftrightarrow-2376x=-47091\)
\(\Leftrightarrow x=\frac{1427}{72}\)
\(x+\frac{15}{7}=\frac{9}{2}\)
\(x=\frac{9}{2}-\frac{15}{7}=\frac{33}{14}\)
\(x-\frac{3}{4}=\frac{7}{2}\)
\(x=\frac{7}{2}+\frac{3}{4}=\frac{17}{4}\)
\(x.\frac{7}{8}=\frac{12}{5}\)
\(x=\frac{12}{5}:\frac{7}{8}=\frac{96}{35}\)
\(\frac{5}{6}:x=\frac{4}{3}\)
\(x=\frac{5}{6}:\frac{4}{3}=\frac{5}{8}\)
Bài 1:
Câu a:
2/3.(x -5/6) + 1/4 = 22/9
2/3.(x -5/6) = 22/9 - 1/4
2/3.(x -5/6) = 79/36
x - 5/6 = 79/36 : 2/3
x - 5/6 = 79/24
x = 5/6 + 79/24
x = 33/8
Vậy x = 33/8
\(x+7\frac{4}{5}=9\frac{7}{15}\)
\(x=9\frac{7}{15}-7\frac{4}{5}\)
\(x=9\frac{7}{15}-7\frac{12}{15}\)
\(x=-2\frac{1}{3}\)
\(x-4\frac{9}{11}=\frac{2121}{2222}\)
\(x-4\frac{9}{11}=\frac{101.21}{101.22}\)
\(x-\frac{53}{11}=\frac{21}{22}\)
\(x=\frac{21}{22}+\frac{53}{11}\)
\(x=\frac{127}{22}=5\frac{17}{22}\)