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a, | x + 1/5 | - 4 = - 2
| x + 1/5 | = - 2 + 4
| x + 1/5 | = 2
=> x + 1/5 = 2 hoặc x + 1/5 = -2
=> x = 9/5 hoặc x = -11/5
\(a,\left|x+\frac{1}{5}\right|-4=-2\)
\(\left|x+\frac{1}{5}\right|=-2+4\)
\(\left|x+\frac{1}{5}\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x+\frac{1}{5}=2\\x+\frac{1}{5}=-2\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{9}{5}\\x=-\frac{11}{5}\end{cases}}}\)
\(b,-\frac{15}{12}x+\frac{3}{7}=\frac{6}{5}x-\frac{1}{2}\)
\(\frac{6}{5}x+\frac{5}{4}x=\frac{3}{7}+\frac{1}{2}\)
\(\left(\frac{6}{5}+\frac{5}{4}\right)x=\frac{13}{14}\)
\(\frac{49}{20}x=\frac{13}{14}\)
\(x=\frac{130}{343}\)
\(=\frac{16}{5}.\frac{15}{16}-\left(\frac{3}{4}+\frac{2}{7}\right):\left(\frac{-29}{28}\right)\)
\(=3-\left(\frac{21}{28}+\frac{8}{28}\right):\left(\frac{-29}{28}\right)\)
\(=3-\left(\frac{29}{28}\right).\left(\frac{-28}{29}\right)\)
\(=3-\left(-1\right)\)
\(=4\)
b) \(=\left(\frac{1}{4}+\frac{25}{2}-\frac{5}{16}\right):\left(12-\frac{7}{12}:\left(\frac{3}{8}-\frac{1}{12}\right)\right)\)
\(=\left(\frac{4}{16}+\frac{200}{16}-\frac{5}{16}\right):\left(12-\frac{7}{12}:\left(\frac{3.3}{2.3.4}-\frac{2}{2.3.4}\right)\right)\)
\(=\left(\frac{199}{16}\right):\left(12-\frac{7}{12}:\left(\frac{9}{24}-\frac{2}{24}\right)\right)\)
\(=\frac{199}{16}:\left(12-\frac{7}{12}.\frac{24}{7}\right)\)
\(=\frac{199}{16}:\left(12-2\right)\)
\(=\frac{199}{16}:10\)
\(=\frac{199}{160}\)
c) \(\left(\frac{-3}{5}+\frac{5}{11}\right):\frac{-3}{7}+\left(\frac{-2}{5}+\frac{6}{5}\right):\frac{-3}{7}\)
\(\left(\frac{-33}{55}+\frac{25}{55}\right):\frac{-3}{7}+\left(\frac{4}{5}\right):\frac{-3}{7}\)
\(\left(\frac{-8}{55}\right).\frac{-7}{3}+\frac{4}{5}.\frac{-7}{3}\)
\(\frac{-7}{3}\left(\frac{-8}{55}+\frac{4}{5}\right)\)
\(\frac{-7}{3}.\frac{36}{55}=\frac{-84}{55}\)
\(\frac{-15}{12}x+\frac{3}{7}=\frac{6}{5}x-\frac{1}{2}\\ \frac{-5}{4}x+\frac{3}{7}=\frac{6}{5}x-\frac{1}{2}\\ \frac{6}{5}x+\frac{5}{4}x=\frac{1}{2}+\frac{3}{7}\\ x\left(\frac{6}{5}+\frac{5}{4}\right)=\frac{7}{14}+\frac{6}{14}\\ x\left(\frac{24}{20}+\frac{25}{20}\right)=\frac{13}{14}\\ x\cdot\frac{49}{20}=\frac{13}{14}\\ x=\frac{13}{14}\div\frac{49}{20}\\ x=\frac{13}{14}\cdot\frac{20}{49}\\ x=\frac{130}{343}\\ \text{Vậy }x=\frac{130}{343}\)
\(-\frac{15}{12}x+\frac{3}{7}=\frac{6}{5}x-\frac{1}{2}\)
\(\Rightarrow\left(-\frac{15}{12}x\right)-\frac{6}{5}x=\left(-\frac{1}{2}\right)-\frac{3}{7}\)
\(\Rightarrow-\frac{49}{20}x=-\frac{13}{14}\)
\(\Rightarrow\frac{49}{20}x=\frac{13}{14}\)
\(\Rightarrow x=\frac{13}{14}:\frac{49}{20}\)
\(\Rightarrow x=\frac{130}{343}\)
Vậy \(x=\frac{130}{343}.\)
Chúc bạn học tốt!
1) \(\frac{x+4}{7+y}=\frac{4}{7}\)\(\Rightarrow7\left(x+4\right)=4\left(7+y\right)\)
\(\Rightarrow7x+28=28+4y\)
\(\Rightarrow7x=4y\)
\(\Rightarrow\frac{x}{4}=\frac{y}{7}\)
áp dụng tính chất của dãy tỉ số bằng nhau, ta có:
\(\frac{x}{4}=\frac{y}{7}=\frac{x+y}{4+7}=\frac{22}{11}=2\)
x/4 = 2 => x = 4 x 2 = 8
y/7 = 2 => y = 2 x 7 = 14
Bài 1
\(=-\frac{21}{60}=-\frac{7}{20}\)
\(b,\left(2-\frac{1}{3}\right)^2+|-\frac{5}{6}|+\frac{-7}{12}-\frac{25}{9}\)
\(=\frac{25}{9}+\frac{5}{6}-\frac{7}{12}-\frac{25}{9}\)
\(=\left(\frac{25}{9}-\frac{25}{9}\right)+\left(\frac{5}{6}-\frac{7}{12}\right)\)
\(=0+\frac{1}{4}=\frac{1}{4}\)
Bài 2
\(a,x+\frac{2}{5}=-\frac{3}{10}\)
\(x=-\frac{3}{10}-\frac{2}{5}\)
\(x=-\frac{3}{10}-\frac{4}{10}\)
\(x=-\frac{7}{10}\)
\(b,|\frac{2}{3}+x|=\frac{5}{7}\)
\(\Rightarrow\orbr{\begin{cases}\frac{2}{3}+x=\frac{5}{7}\\\frac{2}{3}+x=-\frac{5}{7}\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{5}{7}-\frac{2}{3}\\x=-\frac{5}{7}-\frac{2}{3}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{1}{21}\\x=-\frac{29}{21}\end{cases}}}\)
== chắc trog quá trình lm lỡ xóa đó
\(a,-\frac{3}{4}.\frac{7}{15}\)
\(=-\frac{21}{60}=-\frac{7}{20}\)
với lại bài trên mk tính nhẩm ko bấm máy sai == sửa giúp
\(\frac{-15}{12}x+\frac{3}{5}=\frac{6}{5}x-\frac{1}{2}\)
\(\Leftrightarrow\frac{-15}{12}x-\frac{6}{5}x=\frac{-1}{2}-\frac{3}{5}\)
\(\Leftrightarrow\frac{-49}{20}x=\frac{-11}{10}\)
\(\Leftrightarrow x=\frac{22}{49}\)