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\(\frac{27.18+27.103-120.27}{15.33+33.12}=\frac{27.\left(18+103-120\right)}{33.\left(15+12\right)}=\frac{27.1}{33.27}=\frac{1.1}{33.1}=\frac{1}{33}\)
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\(\frac{27\cdot18+27\cdot103-27\cdot120}{15\cdot33+12\cdot33}=\frac{27\left(18+103-120\right)}{33\left(15+12\right)}\)\(=\frac{27\cdot1}{33\cdot27}=\frac{1}{33}\)
\(\Leftrightarrow x-\frac{1}{3}=\left(+-\right)\frac{5}{6}\)
nếu \(x-\frac{1}{3}=\frac{5}{6}\) nếu \(x-\frac{1}{3}=-\frac{5}{6}\)
\(\Leftrightarrow x=\frac{5}{6}+\frac{1}{3}\) \(\Leftrightarrow x=-\frac{5}{6}+\frac{1}{3}\)
\(\Leftrightarrow x=\frac{7}{6}\) \(\Leftrightarrow x=-\frac{1}{2}\)
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\(\frac{27.18+27.103-120.27}{15.33+33.12}\)
\(=\)\(\frac{27.\left(18+103-120\right)}{33.\left(15+12\right)}\)
\(=\)\(\frac{27.1}{33.27}\)
\(=\)\(\frac{1}{33}\)
a) \(\dfrac{298}{719}:\left(\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{3}\right)-\dfrac{2011}{2012}=\dfrac{298}{719}:\left(\dfrac{3}{12}+\dfrac{1}{12}+\dfrac{4}{12}\right)-\dfrac{2011}{2012}=\dfrac{298}{719}:\left(\dfrac{3+1+4}{12}\right)-\dfrac{2011}{2012}=\dfrac{298}{719}:\dfrac{2}{3}-\dfrac{2011}{2012}=\dfrac{298}{719}\cdot\dfrac{3}{2}-\dfrac{2011}{2012}=\dfrac{149.3}{719.1}-\dfrac{2011}{2012}=\dfrac{447}{719}-\dfrac{2011}{2012}=\dfrac{889364}{1446628}-\dfrac{1445909}{1446628}=\dfrac{889364-1445909}{1446628}=-\dfrac{556545}{1446628}.\)b)\(\dfrac{27\cdot18+27+103-120\cdot27}{15\cdot33+33\cdot12}=\dfrac{27\left(18+103-120\right)}{33\left(15+12\right)}=\dfrac{27\cdot1}{33\cdot27}=\dfrac{1\cdot1}{33\cdot1}=\dfrac{1}{33}\)
a)2575 + 37 + 2576 -29
= ( 2575 - 2576 ) + ( 37 - 29)
= -1+ 8
= 8-1
= 7
=\(\left(4-2+3\right)\cdot\frac{-1}{2}\)
=\(5\cdot\left(\frac{-1}{2}\right)\)
=\(\frac{5\cdot\left(-1\right)}{2}\)
=\(\frac{-6}{2}\)
\(=\left(-3\right)\)
Có 2 trg hợp nhé: Nếu x là dấu nhân thì thực hiện theo phép nhân
Nếu x là ẩn số thì ko làm đc nhé vì ko có kết quả
Nên làm theo trường hợp 1
\(4.\frac{-1}{2}-2.\frac{-1}{2}+3.\frac{-1}{2}\)\(=\)\(\left(\frac{-1}{2}\right).\left(4-2+3\right)=\left(\frac{-1}{2}\right).5=\frac{-1.5}{2}=\frac{-5}{2}\)
\(1,\left|x+2\right|-12=-1\)
\(\Rightarrow\left|x+2\right|=11\)
\(\Rightarrow\orbr{\begin{cases}x+2=11\\x+2=-11\end{cases}}\Rightarrow\orbr{\begin{cases}x=9\\x=-13\end{cases}}\)
\(2,135-\left|9-x\right|=35\)
\(\Rightarrow\left|9-x\right|=100\)
\(\Rightarrow\orbr{\begin{cases}9-x=100\\9-x=-100\end{cases}\Rightarrow\orbr{\begin{cases}x=-91\\x=109\end{cases}}}\)
\(3,xy+2x+2y=-16\)
\(\Rightarrow x\left(y+2\right)+2y+4=-16+4\)
\(\Rightarrow x\left(y+2\right)+2\left(y+2\right)=-12\)
\(\Rightarrow\left(x+2\right)\left(y+2\right)=-12\)
xét bảng :
| x+2 | -1 | 1 | -2 | 2 | -3 | 3 | -4 | 4 | -6 | 6 | -12 | 12 |
| y+2 | -12 | 12 | -6 | 6 | -4 | 4 | -3 | 3 | -2 | 2 | -1 | 1 |
| x | -3 | -1 | -4 | 0 | -5 | 1 | -6 | 2 | -8 | 4 | -14 | 10 |
| y | -14 | 10 | -8 | 4 | -6 | 2 | -5 | 1 | -5 | 0 | -3 | -1 |