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\(a,0.25x\) - \(\frac{2}{3}x\) =\(1\frac{1}{6}\)
\(\Rightarrow x\cdot\left(0.25-\frac{2}{3}\right)=1\frac{1}{6}\)
\(\Rightarrow x\cdot\frac{-5}{12}=\frac{7}{6}\)
\(\Rightarrow x=\frac{7}{6}:\frac{-5}{12}\)
\(\Rightarrow x=\frac{-14}{5}=-2.8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
_Mấy bác cứ thik đăng nhiều :v , nhìn mak ko muốn lm . E lm bài 1 thôi :v còn các bài còn lại bác tự lm ( nó cx dễ thôi mà ) _
Bài 1 :
\(a) 2x-13=25+6x\)
\(\Rightarrow2x-6x=25+13\)
\(\Rightarrow-4x=38\)
\(\Rightarrow x=-\dfrac{19}{2}\)
Vậy .......
\(b) 12-x=3x+6\)
\(\Rightarrow-x-3x=6-12\)
\(\Rightarrow-4x=-6\)
\(\Rightarrow x=\dfrac{3}{2}\)
Vậy .....
\(c) 40-(25-2x)=x\)
\(\Rightarrow40-25+2x=x\)
\(\Rightarrow15+2x=x\)
\(\Rightarrow2x-x=-15\)
\(\Rightarrow x=-15\)
Vậy ......
\(d) |x-3|=5\)
\(\Rightarrow\left[{}\begin{matrix}x-3=5\\x-3=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=8\\x=-2\end{matrix}\right.\)
Vậy ....
e) \(|x-3|+(x+2)+(x+1)=12\)
\(\Rightarrow\left|x-3\right|+x+2+x+1=12\)
\(\Rightarrow\left|x-3\right|+2x+3=12\)
\(\Rightarrow\left|x-13\right|+2x=9\)
\(\Rightarrow\left[{}\begin{matrix}x-3+2x=9\\-\left(x-3\right)+2x=9\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=6\end{matrix}\right.\) \(( x = 6 \) ko thỏa mãn điều kiện )
Vậy ....
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2:
a: \(\left(-1\right)\cdot\left(-2\right)\cdot\left(-3\right)\cdot\left(-4\right)\cdot\left(-5\right)\cdot\left[\left(-3\right)-\left(-5\right)\right]\)
\(=-\left(1\cdot2\cdot3\cdot4\cdot5\right)\cdot\left[-3+5\right]\)
\(=-120\cdot2=-240\)
b: \(1-2+3-4+5-6+...-98+99\)
=(-1)+(-1)+...+(-1)+99
=99-49=50
![](https://rs.olm.vn/images/avt/0.png?1311)
`#040911`
`a)`
`6 \times x - 5 = 613`
`=> 6 \times x = 613 + 5`
`=> 6 \times x = 618`
`=> x = 618 \div 6`
`=> x = 103`
Vậy, `x = 103`
`b)`
`12 \times x + 3 \times x = 30`
`=> x \times (12 + 3) = 30`
`=> x \times 15 = 30`
`=> x = 30 \div 15`
`=> x = 2`
Vậy, `x = 2`
`c)`
`125 - 25 \times (x - 1) = 100`
`=> 25 \times (x - 1) = 125 - 100`
`=> 25 \times (x - 1) = 25`
`=> x - 1 = 25 \div 25`
`=> x - 1 = 1`
`=> x = 1 + 1`
`=> x = 2`
Vậy, `x = 2`
`d)`
`(x - 2) \times (9x - 4) = 0?`
`=>`
TH1: `x - 2 = 0`
`=> x = 0 + 2`
`=> x = 2`
TH2: `9x - 4 = 0`
`=> 9x = 4`
`=> x = 4/9`
Vậy, `x \in {2; 4/9}.`
\(a,6x-5=613\\ \Leftrightarrow6x=618\\ \Leftrightarrow x=103\\ b,12x+3x=30\\ \Leftrightarrow15x=30\\ \Leftrightarrow x=2\\ c,125-25\left(x-1\right)=100\\ \Leftrightarrow25\left(x-1\right)=25\\ \Leftrightarrow x-1=1\\ \Leftrightarrow x=2\\ d,\left(x-2\right)\cdot\left(9x-4\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{4}{9}\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2a) (-1).(-2).(-3).(-4).(-5).[(-3)-(-5)]
= (-1).(-2).(-3).(-4).(-5).2
=> -240
2b) 1-2+3-4+5-6+...+98+99
= (1-2)+(3-4)+(5-6)+...+(97-98)+99
=> Ta có 98 cặp
= (-1)+(-1)+(-1)+...+(-1)+99
= 98(-1)+99
= (-98)+99
= 1
3a) (x-1)(y-2) = 5
=> x-1;y-2 \(\in\) Ư(5) = {-1,-5,1,5}
Ta có bảng :
x-1 | -1 | -5 | 1 | 5 |
y-2 | -5 | -1 | 5 | 1 |
x | 0 | -4 | 2 | 6 |
y | -3 | 1 | 7 | 3 |
Vậy x = {0,-4,2,6}
2b) x(y-3)=12
=> x;y-3 \(\in\) Ư(12) = {-1,-2,-3,-4,-12,1,2,4,12}
Tương đương với x = {-1,-2,-3,-4,-12,1,2,4,12}
\(\frac{-1}{6}-x=\frac{5}{12}+\frac{-2}{3}\)
\(=>\frac{-1}{6}-x=\frac{5}{12}+\frac{-8}{12}\)
\(=>\frac{-1}{6}-x=\frac{-3}{12}\)
\(=>x=\frac{-1}{6}-\frac{-1}{4}\)
\(=>x=\frac{-1}{6}+\frac{1}{4}\)
\(=>x=\frac{-2}{12}+\frac{3}{12}\)
\(=>x=\frac{1}{12}\)