1. Smoke / factories / a cause / air pollution
=> Smoke from factories is a cause of air pollution.
2. There / be / fine days / winter / when / sun / shine
=> There are fine days in winter when the sun shines.
3. Lan / have / small field / and / grow / vegetables / flowers
=> Lan has a small field and she grows vegetables and flowers.
4. I / like / fried rice / glass / orange juice, please
=> I would like fried rice and a glass of orange juice, please
5. villagers / like / go / forest when / spring come
=> The villagers like going to the forest when spring comes.
@Trần Ngọc Phương Linh
5. |(x - 1)(2 - y)| = (x - 1)(y - 2)
Xét 2 TH
TH1: (x - 1)(2 - y) = (x - 1)(y - 2)
<=> (x - 1)2 - (x-1)y = (x - 1)y - (x - 1)2
<=> 2x - 2 - xy + 1 = xy - 1 - 2x + 2
<=> 2x - xy - xy + 2x = -1 - 2 + 2 - 1
<=> x(2 - y - y + 2) = -2
<=> x(4 - 2y) = -2
Do x; y thuộc Z => 4 - 2y thuộc Z
Mà x(4 - 2y) = -2
=> x; 4 - 2y thuộc Ư(2) = {-1; 1; -2; 2}
Ta thấy 4 - 2y chẵn => 4 - 2y = -2; 2
Nếu \(\left\{{}\begin{matrix}x=1\\4-2y=-2\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=1\\2y=6\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=1\\y=3\end{matrix}\right.\) (thỏa mãn)
Nếu \(\left\{{}\begin{matrix}x=-1\\4-2y=2\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=-1\\2y=2\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=-1\\y=1\end{matrix}\right.\) (thỏa mãn)
Vậy các cặp (x; y) thỏa mãn là (1; 3); (-1; 1)
@Phan Đức Gia Linh
số bé là 50 , sô lớn la 450
\(\dfrac{1}{21}+\dfrac{1}{28}+\dfrac{1}{36}+...+\dfrac{2}{x\left(x+1\right)}=\dfrac{2}{9}\)
\(\Leftrightarrow\dfrac{2}{42}+\dfrac{2}{56}+\dfrac{1}{72}+...+\dfrac{2}{x\left(x+1\right)}=\dfrac{2}{9}\)
\(\Leftrightarrow\dfrac{2}{6.7}+\dfrac{2}{7.8}+\dfrac{2}{8.9}+...+\dfrac{2}{x\left(x+1\right)}=\dfrac{2}{9}\)
\(\Leftrightarrow2\left(\dfrac{1}{6.7}+\dfrac{1}{7.8}+\dfrac{1}{8.9}+...+\dfrac{1}{x\left(x+1\right)}\right)=\dfrac{2}{9}\)
\(\Leftrightarrow2\left(\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+...+\dfrac{1}{x}-\dfrac{1}{x+1}\right)=\dfrac{2}{9}\)
\(\Leftrightarrow\dfrac{1}{6}-\dfrac{1}{x+1}=\dfrac{1}{9}\)
\(\Leftrightarrow\dfrac{1}{x+1}=\dfrac{1}{18}\)
<=> x + 1 = 18
<=> x = 17
@Phan Đức Gia Linh