1.Tìm x,y thuộc Z biết

1,x+(-45)=(-62)+17

2,x+29=|-43|+(-43)

3,43+(9-21)=317-(x+317)

4,|x|+|-4|=7

5,|x|+|y|=0

6,(15-x)+(x-12)=7-(-5+x)

7,(2x-5)^2=9

8,(2x+6).(x-9)=0

9,(1-3x)^3=-8

10,3x+4y-xy=15

3.Tìm x+y biết

|x|=5

|x|=7

4.Tìm giá trị lớn nhất hoặc nhỏ nhất của các biểu thức sau (x,y thuộc Z)

A=|x-3|+1

B=3-|x+1|

C=|x-5|+|y+3|+7

1) -5x - (-3) = 13

\(\Rightarrow-5x+3=13\)

\(\Rightarrow-5x=10\)

\(\Rightarrow x=-2\)

Vậy: \(x=-2\)

2) 15 - ( x - 7) = -21

\(\Rightarrow15-x+7=-21\)

\(\Rightarrow15+7-x=-21\)

\(\Rightarrow22-x=-21\)

\(\Rightarrow x=-22-21=-43\)

Vậy: \(x=-43\)

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

\(\Rightarrow45-x+9=-35\)

\(\Rightarrow45+9-x=-35\)

\(\Rightarrow54-x=-35\)

\(\Rightarrow x=-54-35=-89\)

Vậy: \(x=-89\)

4)/x-2/=3\(\Rightarrow\)ta có 2 t/h:

t/h1: x-2=3\(\Rightarrow\)x=2+3=5

t/h2: x-2=-3\(\Rightarrow\)x=2+(-3)=-1

Vậy x=5 hoặc -1

Các bạn ơi trả lời giúp mk mấy câu hỏi này đi mk đang cần rất gấp ngay bây giờ?

a) \(\left(x+5\right)\left(3x-12\right)>0\)

\(\left(x+5\right).3.\left(x-4\right)>0\)

\(\Rightarrow\hept{\begin{cases}x+5>0\\x-4>0\end{cases}}\)  hoặc \(\hept{\begin{cases}x+5< 0\\x-4< 0\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}x>-5\\x>4\end{cases}}\) hoặc \(\hept{\begin{cases}x< -5\\x< 4\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x>4\\x< -5\end{cases}}\)

vậy...

a,|x-2|=3

=>x-2= 3 hoặc -3

-với x -2 =3 =>x=1

-với x-2 = -3 =>x= -1

Vậy x ∈ {1;-1}

b, |x-3|-7=13

=>|x-3|=13-7=6

=>x-3=6 hoặc -6

-với x-3 =6 => x=9

-với x-3= -6 => x=-3

Vậy x ∈ {9;-3}

c,72-3.|x+1|=9

=>3.|x+1|=72-9=63

=>|x+1|=63:3=21

=>x+1 = 21 hoặc -21

-với x+1 = 21 => x=20

-với x+1 = -21 => x= -22

Vậy x ∈ {20;-21}

d,17-(43-|x|)=45

=>43-|x|=17-45= -28

=>|x|=43-(-28)=71

=> x =71 hoăc -71

Vậy x ∈ {71;-71}

f, 3|x-1|-5=7

=>3|x-1|=7+5=12

=>|x-1|=12:3=4

=>x-1=4 hoặc -4

-với x-1=4 =>x=5

-với x-1=-4=>x=-3

Vậy x ∈ {5;-3}

CHÚC BẠN LÀM BÀI TÔT NHA

a) \(\left|x-2\right|=3\\ \Rightarrow\left[{}\begin{matrix}x-2=3\\x-2=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3+2\\x=-3+2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\x=-1\end{matrix}\right.\)Vậy \(x\in\left\{5;-1\right\}\)

b) \(\left|x-3\right|-7=13\\ \left|x-3\right|=13+7\\ \left|x-3\right|=20\\ \Rightarrow\left[{}\begin{matrix}x-3=20\\x-3=-20\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=20+3\\x=-20+3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=23\\x=-17\end{matrix}\right.\)

Vậy \(x\in\left\{23;-17\right\}\)

c) \(72-3\cdot\left|x+1\right|=9\\ 3\left|x+1\right|=72-9\\ 3\left|x+1\right|=63\\ \Rightarrow\left[{}\begin{matrix}x+1=63\\x+1=-63\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=63-1\\x=-63-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=62\\x=-64\end{matrix}\right.\)

Vậy \(x\in\left\{62;-64\right\}\)

d) \(17-\left(43-\left|x\right|\right)=45\\ 43-\left|x\right|=17-45\\ 43-\left|x\right|=-28\\ \left|x\right|=43-\left(-28\right)\\ \left|x\right|=43+28\\ \left|x\right|=71\\ \Rightarrow x\in\left\{71;-71\right\}\)Vậy \(x\in\left\{71;-71\right\}\)

e) \(\left|x\right|< 3\\ \left|x\right|\in\left\{0;1;2\right\}\\ \Rightarrow x\in\left\{0;\pm1;\pm2\right\}\)Vậy \(x\in\left\{0;\pm1;\pm2\right\}\)

f) \(3\left|x-1\right|-5=7\\ 3\left|x-1\right|=7+5\\ 3\left|x-1\right|=12\\ \left|x-1\right|=12:3\\ \left|x-1\right|=4\\ \Rightarrow\left[{}\begin{matrix}x-1=4\\x-1=-4\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4+1\\x=-4+1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\x=-3\end{matrix}\right.\)

Vậy \(x\in\left\{5;-3\right\}\)

sorry đề dính nhau :))

\(a.\dfrac{3}{2}+\dfrac{-1}{3}< \dfrac{x}{6}< \dfrac{1}{9}+\dfrac{31}{18}\)

\(\Leftrightarrow\dfrac{7}{6}< \dfrac{x}{6}< \dfrac{11}{6}\)

\(\Leftrightarrow7< x< 11\)

\(\Leftrightarrow x\in\left\{8;9;10\right\}\)

\(b.\dfrac{-5}{12}+\dfrac{7}{12}+\dfrac{-1}{12}< \dfrac{x}{12}< \dfrac{2}{15}+\dfrac{1}{5}\)

\(\Leftrightarrow\dfrac{1}{12}< \dfrac{x}{12}< \dfrac{1}{3}\)

\(\Leftrightarrow\dfrac{1}{12}< \dfrac{x}{12}< \dfrac{4}{12}\)

\(\Leftrightarrow1< x< 4\)

\(\Leftrightarrow x\in\left\{2;3\right\}\)

Bn cộng 2 phân số đó lại

Bài 2:

\(\dfrac{a+b}{a-b}=\dfrac{c+a}{c-a}\)

\(\Rightarrow\dfrac{a+b}{c+a}=\dfrac{a-b}{c-a}=\dfrac{a+b+a-b}{c+a+c-a}=\dfrac{a}{c}\) (T/c dãy tỷ số = nhau)

\(\Rightarrow\dfrac{a+b}{c+a}=\dfrac{a}{c}\Rightarrow c\left(a+b\right)=a\left(c+a\right)\)

\(\Rightarrow ac+bc=ac+a^2\Rightarrow a^2=bc\)

\(43+\left(9-21\right)=317\left(x+317\right)\)

\(\Rightarrow317-\left(x+317\right)=43+\left(9-21\right)\)

\(\Rightarrow317-\left(x+317\right)=43+\left(-12\right)\)

\(\Rightarrow317-\left(x+317\right)=31\)

\(\Rightarrow x+317=317-31\)

\(\Rightarrow x+317=286\)

\(\Rightarrow x=286-317\)

\(\Rightarrow x=-31\)

Vay x = -31

\(b.\left(15-x\right)+\left(x-12\right)=7-\left(-5+x\right)\)

\(\Rightarrow15-x+x-12=7+5+x\)

\(\Rightarrow15-12=12-x\)

\(\Rightarrow3=12-x\)

\(\Rightarrow12-x=3\)

\(\Rightarrow x=12-3\)

\(\Rightarrow x=9\)

Vay x = 9 

....

a) 43+(9-21) = 317-(x+317)

43+(-12) = 317-(x+317)

317-(x+317) = 31

x+317 = 317-31=286

x = 286-317=(-31)

Tạm thời câu b mình chưa nghĩ ra nha.

a) \(43+\left(9-21\right)=317-\left(x+317\right)\)

\(43+\left(-12\right)=317-\left(x+317\right)\)

   \(317-\left(x+317\right)=31\)

\(x+317=317-31=286\)

\(x=286-317=-31\)

b) \(\left(15-x\right)+\left(x-12\right)=7-\left(-5+x\right)\)

\(15-x+x-12=7+5-x\)

\(7+5-x=\left(15-12\right)+\left(-x+x\right)\)

\(7+5-x=3+0=3\)

\(5-x=3-7=-4\)

\(x=5-\left(-4\right)=5+4=9\)

a. \(\left|x-3\right|-7=13\Leftrightarrow\left|x-3\right|=20\)

TH1: \(x-3=20\Leftrightarrow x=23\)

TH2: \(x-3=-20\Leftrightarrow x=-17\)

b. \(72-3.\left|x+1\right|=9\Leftrightarrow\left|x+1\right|=21\)

TH1: \(x+1=21\Leftrightarrow x=20\)

TH2: \(x+1=-21\Leftrightarrow x=-22\)

c. \(17-\left(43-\left|x\right|\right)=45\Leftrightarrow\left|x\right|=71\)

TH1: \(x=71\)

TH2: \(x=-71\)

d. \(3\left|x-1\right|-5=7\Leftrightarrow\left|x-1\right|=4\)

TH1: \(x-1=4\Leftrightarrow x=5\)

TH2: \(x-1=-4\Leftrightarrow x=-3\)

e. \(-12\left(x-5\right)+7\left(3-x\right)=5\Leftrightarrow-12x+60+21-7x=5\Leftrightarrow-19x=-76\Leftrightarrow x=4\)

a.

\(\left|x-3\right|-7=13\)

\(\left|x-3\right|=13+7\)

\(\left|x-3\right|=20\)

\(x-3=\pm20\)

               \(x=20+3\)

               \(x=23\)

               \(x=-20+3\)

               \(x=-17\)

Vậy x = 23 hoặc x = - 17.

b.

\(72-3\times\left|x+1\right|=9\)

\(3\times\left|x+1\right|=72-9\)

\(3\times\left|x+1\right|=63\)

\(\left|x+1\right|=63\div3\)

\(\left|x+1\right|=21\)

\(x+1=\pm21\)

               \(x=21-1\)

               \(x=20\)

               \(x=-21-1\)

               \(x=-22\)

Vậy x = 20 hoặc x = - 22.

c.

\(17-\left(43-\left|x\right|\right)=45\)

\(43-\left|x\right|=17-45\)

\(43-\left|x\right|=-28\)

\(\left|x\right|=43-\left(-28\right)\)

\(\left|x\right|=71\)

\(x=\pm71\)

Vậy x = 71 hoặc x = - 71.

d.

\(3\times\left|x-1\right|-5=7\)

\(3\times\left|x-1\right|=7+5\)

\(3\times\left|x-1\right|=12\)

\(\left|x-1\right|=12\div3\)

\(\left|x-1\right|=4\)

\(x-1=\pm4\)

               \(x=4+1\)

               \(x=5\)

               \(x=-4+1\)

               \(x=-3\)

Vậy x = 5 hoặc x = - 3.

e.

\(-12\times\left(x-5\right)+7\times\left(3-x\right)=5\)

\(-12\times x+\left(-12\right)\times\left(-5\right)+7\times3-7\times x=5\)

\(-12\times x+60+21-7\times x=5\)

\(-19\times x+81=5\)

\(-19\times x=5-81\)

\(-19\times x=-76\)

\(x=\frac{-76}{-19}\)

\(x=4\)

Chúc bạn học tốt

I x-3 I - 7 = 13

I x - 3 I= 13+7

I x - 3 I= 30

x - 3 =30

x= 30+3

x= 33