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\(-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{2}{3}+\frac{2}{5}\right|\)
\(\Rightarrow-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{4}{15}\right|\).
\(\Rightarrow-\frac{4}{15}=\pm\left(-\frac{22}{15}x+\frac{1}{3}\right)\)
\(\Rightarrow\orbr{\begin{cases}-\frac{22}{15}x+\frac{1}{3}=-\frac{4}{15}\\-\left(-\frac{22}{15}x+\frac{1}{3}\right)=-\frac{4}{15}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{9}{22}\\x=\frac{1}{22}\end{cases}}\)
༃•๖ۣۜLãσ ๖ۣۜHạ¢ Em bị nhầm dạng toán này rồi. Khi ẩn x ở trong dấu giá trị tuyệt đối mình mới chia hai trường hợp em nhé!
Bài giải:
\(-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{4}{15}\right|\)
\(-\frac{22}{15}x+\frac{1}{3}=\frac{4}{15}\)
\(-\frac{22}{15}x=\frac{4}{15}-\frac{1}{3}\)
\(-\frac{22}{15}x=-\frac{1}{15}\)
\(\frac{22x}{15}=\frac{1}{15}\)
\(x=\frac{1}{22}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
-22/15x + 1/3 = 7/15
-22/15x = 7/15 - 1/3
-22/15x = 2/15
x =2/15 : ( -22/15)
x = -1/11
~ chúc bn học tốt~
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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
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{22}{15}x+\frac{1}{3}=\left|\frac{-2}{3}+\frac{1}{5}\right|\)
\(\Leftrightarrow\frac{22}{15}x+\frac{1}{3}=\left|\frac{-7}{15}\right|\)
\(\Leftrightarrow\frac{22}{15}x+\frac{1}{3}=\frac{7}{15}\)
\(\Rightarrow\frac{22}{15}x=\frac{7}{15}-\frac{1}{3}=\frac{2}{15}\)
\(\Rightarrow x=\frac{2}{15}:\frac{22}{15}\)
\(\Rightarrow x=\frac{1}{11}\)
Vậy ....
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{2}{3}+\frac{1}{5}\right|\)
hay \(-\frac{22}{15}x=\frac{7}{15}-\frac{1}{3}=\frac{2}{15}\)
\(\Leftrightarrow x=\frac{2}{15}:\frac{-22}{15}=\frac{2}{15}\cdot\frac{15}{-22}=\frac{-2}{22}=\frac{-1}{11}\)
Vậy: \(x=\frac{-1}{11}\)
\(-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{2}{3}+\frac{1}{5}\right|\)
\(\Rightarrow-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{7}{15}\right|\)
\(\Rightarrow-\frac{22}{15}x+\frac{1}{3}=\frac{7}{15}\)
\(\Rightarrow-\frac{22}{15}x=\frac{7}{15}-\frac{1}{3}\)
\(\Rightarrow-\frac{22}{15}x=\frac{2}{15}\)
\(\Rightarrow x=\frac{2}{15}:\left(-\frac{22}{15}\right)\)
\(\Rightarrow x=-\frac{1}{11}\)
Vậy \(x=-\frac{1}{11}.\)
Chúc bạn học tốt!
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{3}{7}\cdot15\cdot\frac{1}{3}+\frac{3}{7}\cdot5\cdot\frac{2}{5}\le x\le\left(3\frac{1}{2}:7-6\frac{1}{2}\right)\cdot\left(-2\frac{1}{3}\right)\)
\(\Leftrightarrow\frac{15}{7}+\frac{6}{7}\le x\le-6\cdot\frac{-5}{3}\)
\(\Leftrightarrow3\le x\le10\)
Mà \(x\in Z\)
\(\Rightarrow x\in\left\{4;5;6;7;8;9\right\}\)