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23 tháng 7 2017
Các bạn không cần trả lời câu hỏi trên của mik vì mik đã hiểu rồi nha . Cho nên đừng trả lời ! OK
4 tháng 8 2018
1.a) Dễ nhận thấy đề toán chỉ giải được khi đề là tìm x,y. Còn nếu là tìm x ta nhận thấy ngay vô nghiệm. Do đó: Sửa đề: \(\left|x-3\right|+\left|2-y\right|=0\)
\(\Leftrightarrow\left|x-3\right|=\left|2-y\right|=0\)
\(\left|x-3\right|=0\Rightarrow\left\{{}\begin{matrix}x-3=0\\-\left(x-3\right)=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\) (1)
\(\left|2-y\right|=0\Rightarrow\left\{{}\begin{matrix}2-y=0\\-\left(2-y\right)=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=2\\y=-2\end{matrix}\right.\) (2)
Từ (1) và (2) có: \(\left[{}\begin{matrix}\left\{{}\begin{matrix}x_1=3\\x_2=-3\end{matrix}\right.\\\left\{{}\begin{matrix}y_1=2\\y_2=-2\end{matrix}\right.\end{matrix}\right.\)
KL
1 tháng 8 2017
\(\dfrac{-8}{13}+\dfrac{-7}{17}+\dfrac{21}{13}\le x\le\dfrac{-9}{14}+3+\dfrac{5}{-14}\)
=> \(\dfrac{10}{17}\le x\le2\)
=> \(\dfrac{10}{17}\le\dfrac{17x}{17}\le\dfrac{34}{17}\)
=> 10 \(\le17x\le34\)
=> x = 1; 2 (thỏa mãn)
@Khánh Linh
NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
17 tháng 1 2024
a; \(\dfrac{-7}{13}\) + 2 + \(\dfrac{-6}{13}\)
= -(\(\dfrac{7}{13}\) + \(\dfrac{6}{13}\)) + 2
= - 1 + 2
= 1
B; \(\dfrac{-8}{17}\) + \(\dfrac{7}{8}\) + \(\dfrac{-9}{17}\)
= -(\(\dfrac{8}{17}\) + \(\dfrac{9}{17}\)) + \(\dfrac{7}{8}\)
= - 1 + \(\dfrac{7}{8}\)
= - \(\dfrac{1}{8}\)
c;\(\dfrac{-7}{11}\) + \(\dfrac{3}{23}\) + \(\dfrac{7}{14}\) + \(\dfrac{-3}{23}\) + \(\dfrac{-1}{5}\)
= (\(\dfrac{3}{23}\) + \(\dfrac{-3}{23}\)) - (\(\dfrac{7}{11}\) + \(\dfrac{1}{5}\)) + \(\dfrac{7}{14}\)
= - \(\dfrac{46}{55}\) + \(\dfrac{7}{14}\)
= - \(\dfrac{37}{110}\)
C
17 tháng 1 2024
a) \(\dfrac{-7}{13}+2+\dfrac{-6}{13}\)
\(=\left(\dfrac{-7}{13}+\dfrac{-6}{13}\right)+2\)
\(=\dfrac{-13}{13}+2\)
\(=-1+2\)
\(=1\)
b) \(\dfrac{-8}{17}+\dfrac{7}{8}+\dfrac{-9}{17}\)
\(=\left(\dfrac{-8}{17}+\dfrac{-9}{17}\right)+\dfrac{7}{8}\)
\(=\dfrac{-17}{17}+\dfrac{7}{8}\)
\(=-1+\dfrac{7}{8}\)
\(=\dfrac{-8}{8}+\dfrac{7}{8}=\dfrac{-1}{8}\)
c) \(\dfrac{-7}{11}+\dfrac{3}{23}+\dfrac{7}{14}+\dfrac{-3}{23}+\dfrac{-1}{5}\)
\(=\left(\dfrac{3}{23}+\dfrac{-3}{23}\right)+\dfrac{-7}{11}+\dfrac{1}{2}+\dfrac{-1}{5}\)
\(=\dfrac{0}{23}+\dfrac{-7}{11}+\dfrac{1}{2}+\dfrac{-1}{5}\)
\(=\dfrac{-7}{11}+\dfrac{1}{2}+\dfrac{-1}{5}\)
\(=\dfrac{-14}{22}+\dfrac{11}{22}+\dfrac{-1}{5}\)
\(=\dfrac{-3}{22}+\dfrac{-1}{5}\)
\(=\dfrac{-15}{110}+\dfrac{-22}{110}=\dfrac{-37}{110}\)
27 tháng 3 2017
A=\(\dfrac{2}{7}+\dfrac{-3}{8}+\dfrac{11}{7}+\dfrac{1}{3}+\dfrac{1}{7}+\dfrac{5}{-3}\)
A=\(\left(\dfrac{2}{7}+\dfrac{11}{7}+\dfrac{1}{7}\right)+\left(\dfrac{1}{3}+\dfrac{5}{-3}\right)+\dfrac{-3}{8}\)
A=\(2+\dfrac{-4}{3}+\dfrac{-3}{8}\)
A=\(\dfrac{7}{24}\)
B=\(\dfrac{3}{17}+\dfrac{-5}{13}+\dfrac{-18}{35}+\dfrac{14}{17}+\dfrac{17}{-35}+\dfrac{-8}{13}\)
B=\(\left(\dfrac{3}{17}+\dfrac{14}{17}\right)+\left(\dfrac{-18}{35}+\dfrac{17}{-35}\right)+\left(\dfrac{-5}{13}+\dfrac{-8}{13}\right)\)
B=\(\dfrac{17}{17}+\dfrac{-35}{35}+\dfrac{-13}{13}\)
B=\(1+\left(-1\right)+\left(-1\right)=-1\)
C=\(\dfrac{-3}{17}+\left(\dfrac{2}{3}+\dfrac{3}{17}\right)\)
C=\(\dfrac{-3}{17}+\dfrac{2}{3}+\dfrac{3}{17}=\left(\dfrac{-3}{17}+\dfrac{3}{17}\right)+\dfrac{2}{3}\)
C=0+\(\dfrac{2}{3}=\dfrac{2}{3}\)
D=\(\left(\dfrac{-1}{6}+\dfrac{5}{-12}\right)+\dfrac{7}{12}\)
D=\(\dfrac{-1}{6}+\dfrac{5}{-12}+\dfrac{7}{12}\)
D=\(\dfrac{-2}{12}+\dfrac{-5}{12}+\dfrac{7}{12}=\left(\dfrac{-2}{12}+\dfrac{-5}{12}\right)+\dfrac{7}{12}\)
D=\(\dfrac{-7}{12}+\dfrac{7}{12}=0\)
30 tháng 5 2017
\(\dfrac{5}{13}+\dfrac{5}{17}+\dfrac{-20}{41}+\dfrac{8}{13}+\dfrac{-21}{41}\)
\(=\left(\dfrac{5}{13}+\dfrac{8}{13}\right)+\left(\dfrac{-20}{41}+\dfrac{-21}{41}\right)+\dfrac{5}{17}\)
\(=1+\left(-1\right)+\dfrac{5}{17}\)
\(=0+\dfrac{5}{17}=\dfrac{5}{7}\)
DH
30 tháng 5 2017
\(0+\dfrac{5}{17}=\dfrac{5}{17}\)
Đs pải như này ms đúng chứ Hằng!?
WT
8 tháng 3 2017
mình ghi nhầm nên các bạn cứ hết hai phân số là một câu nhé ví dụ như \(\dfrac{-5}{8}\):\(\dfrac{15}{4}\)
Q
25 tháng 3 2017
7) \(\dfrac{-5}{17}+\dfrac{3}{17}\le\dfrac{x}{17}\le\dfrac{13}{17}+\dfrac{-11}{17}\)
\(\Rightarrow\dfrac{-2}{17}\le\dfrac{x}{17}\le\dfrac{2}{17}\)
\(\Rightarrow-2\le x\le2\)
\(\Rightarrow x\in\left\{-2;-1;0;1;2\right\}\)
8) \(\dfrac{2}{3}\left(\dfrac{1}{2}+\dfrac{3}{4}-\dfrac{1}{3}\right)\le\dfrac{x}{18}\le\dfrac{7}{3}\left(\dfrac{1}{2}-\dfrac{1}{6}\right)\)
\(\Rightarrow\dfrac{2}{3}\left(\dfrac{6}{12}+\dfrac{9}{12}-\dfrac{4}{12}\right)\le\dfrac{x}{18}\le\dfrac{7}{3}\left(\dfrac{6}{12}-\dfrac{2}{12}\right)\)
\(\Rightarrow\dfrac{2}{3}\cdot\dfrac{11}{12}\le\dfrac{x}{18}\le\dfrac{7}{3}\cdot\dfrac{4}{12}\)
\(\Rightarrow\dfrac{22}{36}\le\dfrac{x}{18}\le\dfrac{28}{36}\)
\(\Rightarrow\dfrac{11}{18}\le\dfrac{x}{18}\le\dfrac{14}{18}\)
\(\Rightarrow x\in\left\{11;12;13;14\right\}\)
25 tháng 3 2017
8) \(\dfrac{2}{3}\left(\dfrac{1}{2}+\dfrac{3}{4}-\dfrac{1}{3}\right)\le\dfrac{x}{18}\le\dfrac{7}{3}\left(\dfrac{1}{2}-\dfrac{1}{6}\right)\\ \dfrac{2}{3}\left(\dfrac{6}{12}+\dfrac{9}{12}-\dfrac{4}{12}\right)\le\dfrac{x}{18}\le\dfrac{7}{3}\left(\dfrac{3}{6}-\dfrac{1}{6}\right)\\ \dfrac{2}{3}.\dfrac{11}{12}\le\dfrac{x}{18}\le\dfrac{7}{3}.\dfrac{2}{6}\\ \dfrac{11}{18}\le\dfrac{x}{18}\le\dfrac{14}{18}\\ \Rightarrow11\le x\le14\\ \Rightarrow x\in\left\{11;12;13;14\right\}\)
`8/13+(-9)/17+(-34)/13+(-8)/17`
`=(8/13 + (-34)/13) + (-9/17 + (-8)/17 )`
`= -26/13 + (-17)/17`
`=-2 + (-1)`
`=-3`