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18 * 17 - 3 * 6 * 7
= 18 * 17 - 18 * 7
= 18 * ( 17 - 7 )
= 18 * 10
= 180
33 * ( 17 - 5 ) - 17 * ( 33 - 5 )
= ( 33 * 17 - 33 * 5 ) - ( 17 * 33 - 17 * 5 )
= 33 * 17 - 33 * 5 - 17 * 33 + 17 * 5
= 33 * 17 - 17 * 33 - 33 * 5 - 17 * 5
= 33 * ( 17 - 17 ) - 33 * 5 - 17 * 5
= 33 * 0 - 5 * ( 33 - 17 )
= 0 - 5 * 16
= 0 - 80
= -80
54 - 6 * ( 17 + 9 )
= 6 * 9 - 6 * 26
= 6 * ( 9 - 26 )
= 6 * ( -17 )
= -102
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18x-18=0
18x=0+18
18x=18
x=18:18
x=1
17(x-15)=0
(x-15)=0:17
(x-15)=0
x=15+0
x=15
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có: với x,y là số nguyên
\(\left(5x-12y\right)⋮17\Rightarrow\left[\left(5x-12y\right)+17y\right]⋮17\Rightarrow5.\left(x+y\right)⋮17\)
mà \(\left(5;17\right)=1\Rightarrow x+y⋮17\)
\(\Rightarrow\left(x+y+17x\right)⋮17\Rightarrow\left(18x+y\right)⋮17\left(đpcm\right)\)
(5x−12y)⋮17⇒[(5x−12y)+17y]⋮17⇒5.(x+y)⋮17
mà \left(5;17\right)=1\Rightarrow x+y⋮17(5;17)=1⇒x+y⋮17
\Rightarrow\left(x+y+17x\right)⋮17\Rightarrow\left(18x+y\right)⋮17\left(đpcm\right)⇒(x+y+17x)⋮17⇒(18x+y)⋮17(đpcm)
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\(\dfrac{1-18x}{2017}+\dfrac{2-18x}{2016}=\dfrac{3-18x}{2015}+\dfrac{4-18x}{2014}\)
\(\Rightarrow\left(\dfrac{1-18x}{2017}+1\right)+\left(\dfrac{2-18x}{2016}+1\right)=\left(\dfrac{3-18x}{2015}+1\right)+\left(\dfrac{4-18x}{2014}+1\right)\)
\(\Rightarrow\dfrac{2018-18x}{2017}+\dfrac{2018-18x}{2016}-\dfrac{2018-18x}{2015}-\dfrac{2018-18x}{2014}=0\)
\(\Rightarrow\left(2018-18x\right)\left(\dfrac{1}{2017}+\dfrac{1}{2016}-\dfrac{1}{2015}-\dfrac{1}{2014}\right)=0\)
\(\Rightarrow2018-18x=0\Rightarrow x=\dfrac{1009}{9}\)
Vậy.............
Chúc bạn học tốt!!!
\(\dfrac{1-18x}{2017}+\dfrac{2-18x}{2016}=\dfrac{3-18x}{2015}+\dfrac{4-18x}{2014}\)
\(\Rightarrow\left(\dfrac{1-18x}{2017}+1\right)+\left(\dfrac{2-18x}{2016}+1\right)=\left(\dfrac{3-18x}{2015}+1\right)+\left(\dfrac{4-18x}{2014}+1\right)\)
\(\Rightarrow\dfrac{2018-18x}{2017}+\dfrac{2018-18x}{2016}-\dfrac{2018-18x}{2015}-\dfrac{2018-18x}{2014}=0\)
\(\Rightarrow\left(2018-18x\right)\left(\dfrac{1}{2017}+\dfrac{1}{2016}-\dfrac{1}{2015}-\dfrac{1}{2014}\right)=0\)
\(\Rightarrow2018-18x=0\)
\(\Rightarrow18x=2018-0\)
\(\Rightarrow18x=2018\)
\(\Rightarrow x=2018:18\)
\(\Rightarrow x=\dfrac{1009}{9}\)
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18x -19 = 21 + 8x
18 x - 8x = 21 + 19
10 x = 40
x =4
g) 18 -4x=-20-6x
-4x + 6x = -20 - 18
2x = -38
x= -19
k, -10 \(x\) - 27 = -7\(x\) + 33
-27 - 33 = -7\(x\) + 10\(x\)
3\(x\) = -60
\(x\) - 20
m, -17\(x\) - 24 = -9\(x\) - 40
-24 + 40 = -9\(x\) + 17\(x\)
8\(x\) = 16
\(x\) = 2
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18 - 4\(x\) = -20 - 6\(x\)
-4\(x\) + 6\(x\) = - 20 - 18
2\(x\) = - 38
\(x\) = - 19
h, -15 \(\times\) 24 = -7\(x\) + 32
7\(x\) = 360 + 32
7\(x\) = 392
\(x\) = 392:7
\(x\) = 56
i, 15\(x\) -3.(4\(x\) - 6) = -12 + 36
15\(x\) - 12\(x\) + 18 = 24
3\(x\) = 24 - 18
3\(x\) = 6
\(x\) = 2
k, -10\(x\) - 27 = -7\(x\) + 33
-27 - 33 = -7\(x\) + 10\(x\)
3\(x\) = -60
\(x\) = -20
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18 . ( x - 16 ) = 18
( x - 16 ) = 18 : 18
x - 16 = 1
x= 16 + 1
x = 17
18 x ( x - 16 ) = 18
( x - 16 ) = 18 : 18
x - 16 = 1
x = 16 + 1
x = 17
Vậy x = 17