Lời giải:

$\frac{4}{9}\times \frac{-13}{-17}+\frac{-2}{17}\times \frac{4}{9}+\frac{2}{9}\times \frac{4}{17}$
$=\frac{4}{9}\times (\frac{13}{17}+\frac{-2}{17})+\frac{2}{9}\times \frac{4}{17}$

$=\frac{4}{9}\times \frac{11}{17}+\frac{4}{9}\times \frac{2}{17}$

$=\frac{4}{9}\times (\frac{11}{17}+\frac{2}{17})$

$=\frac{4}{9}\times \frac{13}{17}=\frac{52}{153}$

dễ mà bro 

a)x+5= 9

x=9-5

x=4

b) -3x=24

x=24:-3

x=-8

c) [x]-9=15

[x]=15+9

[x]=24

x=24

d)[x-9]=-2+17

[x-9]=15

[x]=15+9

[x]=24

x=24

a) \(x+5=-2+11\)                                b)\(-3x=5+29\)

\(\Rightarrow x=-2+11-5\)                                   \(\Rightarrow-3x=24\)

\(\Rightarrow x=4\)                                                       \(\Rightarrow-8\)        

c)\(\left|x\right|-9=-2+17\)                         d)\(\left|x-9\right|=-2+17\)

     \(\left|x\right|=15+9\)                                    \(\left|x-9\right|=15\)

      \(\left|x\right|=24\)                                          \(x-9=15\) hoặc \(x-9=15\)

x = 24 hoặc - 24                                    \(x=24\) hoặc \(x=-6\)

a) x = 4

b) x = -8

c) | x | - 9 = -2 + 17

| x | = 15 + 9

| x | = 24

x = 24 hoặc x = -24

d) |x – 9| = -2 + 17

|x – 9| = 15

x – 9 = 15 hoặc x – 9 = -15

x = 24 hoặc x = -6

Đề viết thiếu ko vậ?

#)Giải :

     \(\frac{2}{9}.\frac{5}{17}+\frac{2}{9}.\frac{13}{17}-\frac{2}{9}.\frac{1}{17}+2018\frac{7}{9}\)

\(=\frac{2}{9}\left(\frac{5}{17}+\frac{13}{17}-\frac{1}{17}\right)+2018\frac{7}{9}\)

\(=\frac{2}{9}.1+2018\frac{7}{9}\)

\(=\frac{2}{9}+2018\frac{7}{9}\)

\(=2018\frac{9}{9}=2019\)

             #~Will~be~Pens~#

\(\frac{2}{9}\times\frac{5}{17}+\frac{2}{9}\times\frac{13}{17}-\frac{2}{7}\times\frac{1}{17}+2018\frac{7}{9}\)

\(=\frac{2}{9}\times\left(\frac{5}{17}+\frac{13}{17}-\frac{1}{17}\right)+2018\frac{7}{9}\)

\(=\frac{2}{9}\times1+2018\frac{7}{9}\)

\(=\frac{2}{9}+2018\frac{7}{9}\)

\(=\frac{2}{9}+2018+\frac{7}{9}\)

\(=\left(\frac{2}{9}+\frac{7}{9}\right)+2018\)

\(=1+2018=2019\)

~ Hok tốt ~

ĐKXĐ: ...

Đặt \(\left\{{}\begin{matrix}u=v\\v=\sqrt{17-x^2}\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}u+v+uv=9\\u^2+v^2=17\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}uv=9-\left(u+v\right)\\\left(u+v\right)^2-2uv=17\end{matrix}\right.\)

\(\Rightarrow\left(u+v\right)^2+2\left(u+v\right)-35=0\)

\(\Rightarrow\left[{}\begin{matrix}u+v=5\Rightarrow uv=4\\u+v=-7\Rightarrow uv=16\end{matrix}\right.\)

\(\Rightarrow...\)

( Mik làm mấy phần mà bạn dưới chưa làm)

11) xy+x+y=9

\(\Leftrightarrow\) xy+x+y+1=9+1

\(\Leftrightarrow\left(xy+x\right)+\left(y+1\right)\)=10

\(\Leftrightarrow x\left(y+1\right)+\left(y+1\right)=10\)

\(\Leftrightarrow\) (x+1)(y+1)=10=1.10=10.1=-1.-10=-10.-1=2.5=5.2=-2.-5=-5.-2

\(\Rightarrow\) TH1: x+1=1 ; y+1=10

\(\Leftrightarrow x=0;y=9\)

TH2: x+1=10;y+1=1

\(\Leftrightarrow\)x=9;y=0

TH3: x+1=-1;y+1=-10

\(\Leftrightarrow\) x=-2;y=-11

...........

Vậy:........

( Bạn tự làm nốt chứ dài quá, mik chỉ hướng dẫn cách làm bài thôi)

1) -x = -7

=> x = 7

2) - x = 17

=> x = - 17

3) |x| = 17

=> x = ±17

4) -(-x) = |-17|

=> x = 17

5) - 19 - x = 17

=> - x = 17 + 19

=> x = - 36

6) - 19 - x = - 17

=> - x = - 17 + 19

=> -x = 2

=> x = - 2

7) - 5 - (10 - x) = 7

=> - 5 - 10 + x = 7

=> - 15 + x = 7

=> x = 7 + 15

=> x = 22

8) |x + 3| + 7 = 12

=> |x + 3| = 12 - 7

=> |x + 3| = 5

=> x + 3 = 5 hoặc x + 3 =- 5

=> x = 2 hoặc x = - 8

9) 2 - |x - 2| = x

=> - |x - 2| - x = - 2

TH1: x >= 2

- (x - 2) - x = - 2

=> - x + 2 - x =- 2

=> - 2x = - 4

=> x = 2 (nhận)

TH2: x < 2

-[-(x - 2)] - x = - 2

=> x - 2 - x = - 2

=> 0x = 0 (vô số nghiệm)

| x | -9 = -2 +17

| x | -9 = 15

=> x = 24 hoặc x = -24

| x-9 | = -2 +17

| x-9 | = 15

xét | x-9 | = { x-9 nếu x-9 >_/ 0 => x >_/ 9

                  { -(x-9) nếu x-9 < 0 => x < 9

Với x >_/ 9 thì:

x-9 = 15

x    = 15 + 9

x    = 24 ( TM)

Với x < 9 thì :

-(x-9) = 15

-x + 9 = 15

x        = 15-9

x        = 6 (TM)

Vậy x = 24 hoặc x = -6

nhớ tíck cho mk nha ( nếu đúng) . Thanks !!!!!!!!!!!!

\(\left|x\right|-9=-2+17\)

\(\left|x\right|-9=15\)

\(\left|x\right|=24\)

=> \(\orbr{\begin{cases}x=24\\x=-24\end{cases}}\)

\(\left|x-9\right|=-2+17\)

\(\left|x-9\right|=15\)

=> \(\orbr{\begin{cases}x-9=15\\x-9=-15\end{cases}}\)

=> \(\orbr{\begin{cases}x=24\\x=-6\end{cases}}\)

\(\dfrac{9}{17}\times\dfrac{21}{13}+\dfrac{9}{17}\times\dfrac{5}{13}-\dfrac{9}{17}\times2\)

\(=\dfrac{9}{17}\times\left(\dfrac{21}{13}+\dfrac{5}{13}-2\right)\)

\(=\dfrac{9}{17}\times\left(\dfrac{26}{13}-2\right)=\dfrac{9}{17}\times\left(2-2\right)\)

\(=\dfrac{9}{17}\times0=0\)

= 9/17 x ( 21/13 + 5/13 - 2 )

= 9/17 x 0

= 0

=9/17 x (21/13 + 5/13 - 2)

=9/17 x (26/13 - 2)

=9/17 x (13 - 2)

=9/17 x 11

= 99/17

Tick cho mik nhé!!!

a) x + 2 = - 9 - 11

   x + 2  = - 20

        x   = - 20 - 2

         x  = - 22

Vậy x = - 22

b) x - 2 = - 6 + 17

   x - 2  = 11

        x  = 11 + 2

        x  = 13

 Vậy x = 13

e ) l x - 5 l = 5

=> \(\orbr{\begin{cases}x-5=5\\x-5=-5\end{cases}}\)=> \(\orbr{\begin{cases}x=5+5\\x=-5+5\end{cases}}\)=>\(\orbr{\begin{cases}x=10\\x=0\end{cases}}\)

Vậy x thuộc { 0 ; 10 }