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\(6\cdot x+9=15\)
\(\Rightarrow6\cdot x=15-9\)
\(\Rightarrow6\cdot x=6\)
\(\Rightarrow x=\dfrac{6}{6}=1\)
_______________
\(43+2x=49\)
\(\Rightarrow2x=49-43\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=\dfrac{6}{2}=3\)
____________
\(x:2+5=11\)
\(\Rightarrow x:2=11-5\)
\(\Rightarrow x:2=6\)
\(\Rightarrow x=6\cdot2=12\)
______________
\(77-11x=0\)
\(\Rightarrow11x=77\)
\(\Rightarrow x=\dfrac{77}{11}\)
\(\Rightarrow x=7\)
_______________
\(12-4:x=8\)
\(\Rightarrow4:x=12-8\)
\(\Rightarrow4:x=4\)
\(\Rightarrow x=\dfrac{4}{4}=1\)
_____________
\(x:3+8=11\)
\(\Rightarrow x:3=11-8\)
\(\Rightarrow x:3=3\)
\(\Rightarrow x=3\cdot3=9\)
a: 6x+9=15
=>6x=6
=>x=1
b: 2x+43=49
=>2x=6
=>x=3
c: x:2+5=11
=>x:2=6
=>x=12
d: 77-11x=0
=>7-x=0
=>x=7
e: 12-4:x=8
=>4:x=4
=>x=1
f: x:3+8=11
=>x:3=3
=>x=9
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2 :
a) 34 + ( 9 - 21 ) =2017 - (x +2017)
34 + 9 - 21 =2017 - x -2017
22=-x
x=-22
b) (15-x)+(x-12) =7-(-8+x)
15-x+x-12 =7+8-x
3=15-x
x=12
c) x-(11-x) = - 48 + (-12 + x
x-11+x = - 48 -12 + x
2x-11=-60+x
2x-x=-60+11
x=-49
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1 d)
\(1-2+3-4+5-6+...+2013\)
\(=1+\left(-2+3\right)+\left(-4+5\right)+...+\left(-2012+2013\right)\)
\(=1+1+1+...+1\left(1006s\right)\)
\(=1006.1=1006\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\left(-11\right)\cdot\left(-28\right)+\left(-9\right)\cdot3\)
\(=11\cdot28-9\cdot3\)
\(=\left(10+1\right)\cdot28-27\)
\(=28\cdot10+28-27\)
\(=280+1\)
\(=281\)
b) \(\left(-69\right)\cdot\left(-31\right)-\left(-15\right)\cdot12\)
\(=69\cdot31+15\cdot12\)
\(=2139+180\)
\(=2319\)
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1)
a)
\(\frac{-5}{6}.\frac{120}{25}< x< \frac{-7}{15}.\frac{9}{14}\)
\(\frac{-1}{1}.\frac{20}{5}< x< \frac{-1}{5}.\frac{3}{2}\)
\(\frac{-20}{5}< x< \frac{-3}{10}\)
\(\frac{-40}{10}< x< \frac{-3}{10}\)
\(\Rightarrow Z\in\left\{-4;-5;-6;-7;-8;-9;-10;...;-39\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A=\(\dfrac{9^5.30^3}{3^{15}.5^3.6^2}=\dfrac{3^{10}.3^3.10^3}{3^{15}.5^3.2^2.3^2}=\dfrac{3^{13}.2^3.5^3}{3^{15}.5^3.2^2.3^2}=\dfrac{2}{3^4}=\dfrac{2}{81}\)