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*x-(17-8)=5+(10+3x)
x - 9 = 5 + 10 + 3x
x - 3x = 5+10+9
-2x=34
x=34:2=17
*25-(30+x)=x-(27-8)
25-30-x=x-19
-x+x=-19-25+30
0x=-17
*Đề______________
x-12-15=13-18-x
x+x=13-18+12+15
2x=22
x=11
*Đề :________
-5+2./x+3/=7
2/x+3/=12
/x+3/=6
#x+3=6=>x=3
# x+3=-6=>x=-9
Các dấu "*";"#"bn ko nhất thiết phải ghi như mk đâu nhé,mà thay lại bằng lời văn hoặc dấu "<=>"thì hợp lý hơi nhé(tại mk lười đánh quá mà)
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\(a,\dfrac{7}{12}-\left(x+\dfrac{7}{10}\right):\dfrac{6}{5}=\dfrac{5}{4}\)
\(\Leftrightarrow\dfrac{7}{12}-x-\dfrac{7}{10}:\dfrac{6}{5}=\dfrac{5}{4}\)
\(\Leftrightarrow\dfrac{7}{12}-x-\dfrac{7}{12}=\dfrac{5}{4}\)
\(\Leftrightarrow\dfrac{7}{12}-x=\dfrac{5}{4}+\dfrac{7}{12}\)
\(\Leftrightarrow\dfrac{7}{12}-x=\dfrac{11}{6}\)
\(\Leftrightarrow x=\dfrac{7}{12}-\dfrac{11}{6}\)
\(\Leftrightarrow\dfrac{-5}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(\dfrac{6:\dfrac{3}{5}-\dfrac{17}{16}.\dfrac{6}{7}}{\dfrac{21}{5}.\dfrac{10}{11}+\dfrac{57}{11}}-\dfrac{\left(\dfrac{3}{20}+\dfrac{1}{2}-\dfrac{1}{15}\right).\dfrac{12}{49}}{\dfrac{10}{3}+\dfrac{2}{9}}\right).x=\dfrac{215}{96}\)
\(\Rightarrow\left(\dfrac{\dfrac{509}{56}}{9}-\dfrac{\dfrac{7}{12}.\dfrac{12}{49}}{\dfrac{32}{9}}\right).x=\dfrac{215}{96}\)
\(\Rightarrow\left(\dfrac{509}{504}-\dfrac{\dfrac{1}{7}}{\dfrac{32}{9}}\right).x=\dfrac{215}{96}\)
\(\Rightarrow\left(\dfrac{509}{504}-\dfrac{9}{224}\right).x=\dfrac{215}{96}\)
\(\Rightarrow\dfrac{1955}{2016}.x=\dfrac{215}{96}\)
\(\Rightarrow x=\dfrac{215}{96}:\dfrac{1955}{2016}\)
\(\Rightarrow x=\dfrac{903}{391}\)
`[ 6 : 3/5 - 17/16 . 6/7 : 21/5 . 10/11 + 57/11 - (3/20 + 1/2 - 1/15) . 12/49 : 10/3 + 2/9 ] . x = 215/96`
`=>[ 6 . 5/3 - 17/16 . 6/7 . 5/21 . 10/11 + 57/11 - (3/20 + 1/2 - 1/15) . 12/49 . 3/10 + 2/9 ] . x = 215/96`
`=>[10- 51/56 . 6/7 . 5/21 . 10/11 + 57/11 - (3/20 + 1/2 - 1/15) . 12/49 . 3/10 + 2/9 ] . x = 215/96`
`=> [10- 153/196 . 5/21 . 10/11 + 57/11 - (3/20 + 1/2 - 1/15) . 12/49 . 3/10 + 2/9 ] . x = 215/96`
`=> [10- 255/1372 . 10/11 + 57/11 - (3/20 + 1/2 - 1/15) . 12/49 . 3/10 + 2/9 ] . x = 215/96`
`=> [10- 1275/7546 + 57/11 - (3/20 + 1/2 - 1/15) . 12/49 . 3/10 + 2/9 ] . x = 215/96`
`=> (10- 1275/7546 + 57/11 - 7/12. 12/49 . 3/10 + 2/9 ) . x = 215/96`
`=> ( 10- 1275/7546 + 57/11 -343/600 . 3/10 + 2/9 ) . x = 215/96`
`=> ( 10- 1275/7546 + 57/11 -343/2000 + 2/9 ) . x = 215/96`
`=>15,06357671 . x= 215/96`
`=> x= 215/96: 15,06357671`
`=>x= 0,1486754027`
Đề có phải như vậy không nhỉ ?
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\(\Leftrightarrow x-9-2x+6=0\)
\(\Leftrightarrow-x-3=0\)
\(\Leftrightarrow x=-3\)
#quankun^^
\(x-9=2x-6\)
\(\Leftrightarrow x-2x=-6+9\)
\(\Leftrightarrow-x=3\)
\(\Leftrightarrow x=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(-2\left(x-1\right)+\left(-6\right)=10\)
\(-2\left(x-1\right)=10-\left(-6\right)\)
\(-2\left(x-1\right)=16\)
\(x-1=16:\left(-2\right)\)
\(x-1=-8\)
\(x=-8+1\)
\(x=-7\)
\(-2\left(x-1\right)+\left(-6\right)=10\)
\(-2.\left(x-1\right)=10-\left(-6\right)\)
\(-2\left(x-1\right)=16\)
\(x-1=16:\left(-2\right)\)
\(x-1=-8\)
\(x=\left(-8\right)+1\)
\(x=-7\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài giải
a) (x - 13).(y + 2) = 13 (x; y \(\in Z\))
Ta có 13 = 1. 13 = 13.1
Có hai trường hợp sẽ xảy ra:
x - 13 | 1 | 13 |
y + 2 | 13 | 1 |
Nếu x - 13 = 1 và y + 2 = 13 thì ta có:
x - 13 = 1 | y + 2 = 13 |
x = 1 + 13 | y = 13 - 2 |
x = 14 | y = 11 |
Nếu x - 13 = 13 và y + 2 = 1 thì ta có:
x - 13 = 13 | y + 2 = 1 |
x = 13 + 13 | y = 1 - 2 |
x = 26 | y = -1 |
Vậy \(x\in\left\{14;26\right\}\)và \(y\in\left\{11;-1\right\}\)
b) (x - 2).(y + 1) = 7 ( \(x;y\in Z\))
Ta có 7 = 1.7 = 7.1
Có hai trường hợp sẽ xảy ra:
x - 2 | 1 | 7 |
y + 1 | 7 | 1 |
Nếu x - 2 = 1 và y + 1 = 7 thì ta có:
x - 2 = 1 | y + 1 = 7 |
x = 1 + 2 | y = 7 - 1 |
x = 3 | y = 6 |
Nếu x - 2 = 7 và y + 1 = 1 thì ta có:
x - 2 = 7 | y + 1 = 1 |
x = 7 + 2 | y = 1 - 1 |
x = 9 | y = 0 |
Vậy \(x\in\left\{9;3\right\}\)và \(y\in\left\{6;0\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a.\(7:\left|x-3\right|=4\)
\(\Leftrightarrow\left|x-3\right|=\frac{7}{4}\Leftrightarrow\orbr{\begin{cases}x-3=\frac{7}{4}\\x-3=\frac{-7}{4}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{7}{4}+3\\x=\frac{-7}{4}+3\end{cases}}}\Leftrightarrow\orbr{\begin{cases}x=\frac{19}{4}\\x=\frac{5}{4}\end{cases}}\)
Vậy x = 19/4 hoặc x = 5/4
b. \(12:\left(x-8\right)=114\)
\(x-8=\frac{12}{114}=\frac{2}{19}\)
\(x=\frac{2}{19}+8\)
\(x=\frac{154}{19}\)
c. \(47+\left|x-7\right|=123\)
\(\Leftrightarrow\left|x-7\right|=123-47\Leftrightarrow\left|x-7\right|=76\)
\(\Leftrightarrow\orbr{\begin{cases}x-7=76\\x-7=-76\end{cases}\Leftrightarrow\orbr{\begin{cases}x=83\\x=-69\end{cases}}}\)
Vậy x = 83 hoặc x = -69
d.\(188+\left|3x-1\right|=1198\)
\(\Leftrightarrow\left|3x-1\right|=1198-188\Leftrightarrow\left|3x-1\right|=1010\)
\(\Leftrightarrow\orbr{\begin{cases}3x-1=1010\\3x-1=-1010\end{cases}\Leftrightarrow\orbr{\begin{cases}3x=1010+1\\3x=-1010+1\end{cases}\Leftrightarrow}\orbr{\begin{cases}3x=1011\\3x=-1009\end{cases}}}\Leftrightarrow\orbr{\begin{cases}x=337\\x=\frac{-1009}{3}\end{cases}}\)
Vậy x = 337 hoặc x= -1009/3
chơi mini world k