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1)

x= -6+2

x= -4

2)

=-5 x = 13 + (-3)

= -5 .x =10

x = 10 ÷ -5

x = -2

a.

\(15-\left(x-7\right)=-21\)

\(x-7=15-\left(-21\right)\)

\(x-7=36\)

\(x=36+7\)

\(x=43\)

b.

\(3x+17=2\)

\(3x=2-17\)

\(3x=-15\)

\(x=-15\div3\)

\(x=-5\)

c.

\(45-\left(x-9\right)=-35\)

\(x-9=45-\left(-35\right)\)

\(x-9=80\)

\(x=80+9\)

\(x=89\)

d.

\(\left(-5\right)+x=15\)

\(x=15-\left(-5\right)\)

\(x=20\)

e.

\(2x-\left(-17\right)=15\)

\(2x=15+\left(-17\right)\)

\(2x=-2\)

\(x=-2\div2\)

\(x=-1\)

g.

\(\left|x-2\right|=3\)

\(x-2=\pm3\)

• \(x-2=3\)

               \(x=3-2\)

               \(x=1\)

• \(x-2=-3\)

                \(x=-3+2\)

                \(x=-1\)

Vậy x = 1 hoặc x = - 1.

Chúc bạn học tốt

a)

15-(x-7)=-21

x-7=15-(-21)

x-7=36

x=36+7

x=43

b)

3x+17=2

3x=17-2

3x=15

x=15:3

x=5

c)

45-(x-9)=-35

x-9=45-(-35)

x-9=80

x=80+9

x=89

d)

(-5)+x=15

x=15-(-5)

x=20

e)

2x-(-17)=15

2x=15+(-17)

2x=-2

x=-2:2

x=-1

g)

TH1

|x-2|=3

x-2=3

x=3+2

x=5

TH2

|x-2|=3

x-2=-3

x=-3+2

x=-1

a)x-2=6-5x-16

   6x= -8

    x= -4/3

b)-5x-(-3)-x=13-x

-5x+3-x=13-x

-5x=10

x=-2

c)15-(x-7)=-21-x

15-x+7=-21-x

22=-21 ( vô lí)

x không có giá trị

D)3x+17=2+3x+15

17=17

x có vô số giá trị

e) x-45-(x-9)=-35-x

x-45-x+9=-35-x

-x=1

x=-1

f) -5+x=15-x-2x

4x=20

x=5

g) 2x-(-17) =15

2x+17=15

2x=-2

x=-1

1,15-(x-7)=-21

        x-7=15-(-21)

        x-7= 36

         x  =36+7

        x   = 43

2,3x+17=2

  3x      =2-17

  3x      = -15

   x       = -15:3

   x       = -5

3,45-(x-9)=-35

x-9=45-(-35)

x-9=80

x=80+9

x=89

4,(-5)+x=15

x=15-(-5)

x=20

5,2x-(-17)=15

2x+17=15

2x=15-17

2x=-2

x=-2:2

x=-1

3/-7=13

o l m . v n

Toán lớp 6

Lê Hà Vy 24 tháng 4 2016 lúc 18:05
 Báo cáo sai phạm

1,15-(x-7)=-21

        x-7=15-(-21)

        x-7= 36

         x  =36+7

        x   = 43

2,3x+17=2

  3x      =2-17

  3x      = -15

   x       = -15:3

   x       = -5

3,45-(x-9)=-35

x-9=45-(-35)

x-9=80

x=80+9

x=89

4,(-5)+x=15

x=15-(-5)

x=20

5,2x-(-17)=15

2x+17=15

2x=15-17

2x=-2

x=-2:2

x=-1

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Gợi ý cho bạn

a)  3x – 15 = 25 – 5x 

=> 3x + 5x = 25 + 15

=> 8x = 40

=> x = 5

 b) 3x - 17 = 2x – 7     

=> 3x - 2x = -7 + 17

=> x = 10

 c) 2x – 17 =  – (3x – 18)

=> 2x - 17 = -3x + 18

=> 2x + 3x = 18 + 17

=> 5x = 35

=> x = 7

d) 3x – 14 = 2(x – 9) + 1

=> 3x - 14 = 2x - 18 + 1

=> 3x - 2x = -18 + 1 + 14

=> x = -3

f) (x – 5)² = 9          

\(\Rightarrow\left[{}\begin{matrix}x-5=3\\x-5=-3\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=8\\x=2\end{matrix}\right.\)

a) Ta có: \(3x-15=25-5x\)

\(\Leftrightarrow3x-15-25+5x=0\)

\(\Leftrightarrow8x-40=0\)

\(\Leftrightarrow8x=40\)

hay x=5

Vậy: x=5

b) Ta có: \(3x-17=2x-7\)

\(\Leftrightarrow3x-17-2x+7=0\)

\(\Leftrightarrow x-10=0\)

hay x=10

Vậy: x=10

c) Ta có: \(2x-17=-\left(3x-18\right)\)

\(\Leftrightarrow2x-17=-3x+18\)

\(\Leftrightarrow2x-17+3x-18=0\)

\(\Leftrightarrow5x-35=0\)

\(\Leftrightarrow5x=35\)

hay x=7

Vậy: x=7

d) Ta có: \(3x-14=2\left(x-9\right)+1\)

\(\Leftrightarrow3x-14=2x-18+1\)

\(\Leftrightarrow3x-14-2x+18-1=0\)

\(\Leftrightarrow x+3=0\)

\(\Leftrightarrow x=-3\)

Vậy: x=-3

f) Ta có: \(\left(x-5\right)^2=9\)

\(\Leftrightarrow\left[{}\begin{matrix}x-5=3\\x-5=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=2\end{matrix}\right.\)

Vậy: \(x\in\left\{2;8\right\}\)

1) 3x = 45 + 15 = 60

x = 60 : 3 = 20

2) 5x = 50 - 35 = 15

x = 15 : 5 = 3

3) (2x - 5) + 17 = 6

2x - 5 = 6 - 17

2x - 5 = -11

2x = -11 + 5

2x = -6

x = -6 : 2 = -3

4) 10 - 2(4 -3x) = -4

2(4 - 3x) = -4 - 10 = -14

4 - 3x = -14 : 2 = -7

3x = -7 - 4 = -18

x = -18 : 3 = -6

\(\left\{{}\begin{matrix}\left\{{}\begin{matrix}3x-15=45\Leftrightarrow3x=60\Leftrightarrow x=20\\35-5x=50\Leftrightarrow5x=-15\Leftrightarrow x=-3\end{matrix}\right.\\\left\{{}\begin{matrix}\left(2x-5\right)+17=6\Leftrightarrow2x+5=-11\Leftrightarrow2x=-16\Leftrightarrow x=-8\\10-2\left(4-3x\right)=-4\Leftrightarrow8-6x=14\Leftrightarrow6x=-6\Leftrightarrow x=-1\end{matrix}\right.\\\left\{{}\begin{matrix}-12+3\left(-x+7\right)=-18\Leftrightarrow-3x+21=-6\Leftrightarrow-3x=-27\Leftrightarrow x=9\\24:\left(3x-2\right)=-3\Leftrightarrow3x-2=-8\Leftrightarrow3x=-6\Leftrightarrow x=-2\end{matrix}\right.\\-45:5\left(-3-2x\right)=3\Leftrightarrow-15-10x=-15\Leftrightarrow10x=0\Leftrightarrow x=0\end{matrix}\right.\)

SỬA:

\(\left(2x-5\right)+17=6\Leftrightarrow2x-5=-11\Leftrightarrow2x=-6\Leftrightarrow x=-3\)

a) \(5x-65=5.3^2 \\ 5x-65=45\\5x=45+65\\5x=110\\x=22\)

b) \(200-(2x+6)=4^3\\2x+6=200-4^3\\2x+6=136\\2x=130\\x=65\)

c) \(2(x-51)=2.2^3+20\\2(x-51)=16+20\\2(x-51)=36\\x-51=18\\x=51+18=69\)

d) \(135-5(x+4)=35\\5(x+4)=135-45\\5(x-4)=90\\x-4=18\\x=18+4=22\)

e) \((2x-4)(15-3x)=0\\2(x-2).3(5-x)=0\\(x-2)(5-x)=0\\ \left[ \begin{array}{l}x-2=0\\5-x=0\end{array} \right. \\ \left[ \begin{array}{l}x=2\\x=5\end{array} \right.\)

f) \(2^{x+1} . 2^{2014}=2^{2016} \\ (2^{x+1} . 2^{2014}):2^{2014}=2^{2016} :2^{2014} \\ 2^{x=1}=2^{2016-2014} \\2^{x+1}=2^2\\x+1=2\\x=1\)

g) \(15+(x-1)^3=43\\(x-1)^3=15-42\\(x-1)^3=-27\\(x-1)^3=(-3)^3\\x-1=-3\\x=-2\)

h) \(15-x=17+(-9)\\15-x=17-9\\15-x=8\\x=15-8\\x=7\)

i) \(|x-5|=|-7|+|-4|\\|x-5|=7+4\\|x-5|=11\\ \left[ \begin{array}{l}x-5=11\\x-5=-11\end{array} \right. \\ \left[ \begin{array}{l}x=16\\x=-6\end{array} \right.\)

k) \(|x-3|-12=-9+|-7|\\|x-3|-12=-9+7\\|x-3|-12=-2\\|x-3|=10 \\ \left[ \begin{array}{l}x-3=10\\x-3=-10\end{array} \right. \\ \left[ \begin{array}{l}x=13\\x=-7\end{array} \right.\)