a)\(\frac{5}{21}\)+\(\frac{-3}{7}\)<\(\frac{x}{21}\)<\(\frac{-2}{7}\)+\(\frac{8}{21}\)

\(\Rightarrow\)\(\frac{-4}{21}\)<\(\frac{x}{21}\)<\(\frac{2}{21}\)

\(\Rightarrow\)\(\frac{x}{21}\)\(\in\)\(\left\{\frac{-3}{21};\frac{-2}{21};\frac{-1}{21};\frac{0}{21};\frac{1}{21}\right\}\)

vậy x\(\in\)\(\left\{-3;-2;-1;0;1\right\}\)

mấy câu kia cs tương tự ạ

\(\left(\frac{3}{5}.x-\frac{2}{3}.x-x\right).\frac{1}{7}=\frac{-5}{21}\)

\(\Rightarrow x.\left(\frac{3}{5}-\frac{2}{3}-1\right).\frac{1}{7}=\frac{-5}{21}\)

\(\Rightarrow x.\frac{-16}{105}=\frac{-5}{21}\)

\(\Rightarrow x=\frac{-5}{21}:\frac{-16}{105}\)

\(\Rightarrow x=\frac{25}{16}\)

x.[3/5-2/3-1]=-5/21:1/7

x.-16/15=-5/3

x=-5/3:-16/15

x=25/16

\(\Leftrightarrow x\left(\frac{3}{5}-\frac{2}{3}-1\right).\frac{1}{7}=-\frac{5}{21}\)

\(\Rightarrow x.\frac{-16}{15}.\frac{1}{7}=-\frac{5}{21}\)

\(\Rightarrow\frac{-16}{105}x=-\frac{5}{21}\)

\(\Rightarrow x=\frac{25}{16}\)

tíc mình nha

\(\left(\frac{3}{5}x-\frac{2}{3}x-x\right).\frac{1}{7}=\frac{-5}{21}\)

\(\frac{3}{5}x-\frac{2}{3}x-x=\frac{-5}{21}:\frac{1}{7}\)

\(\frac{3}{5}x-\frac{2}{3}x-x=\frac{-5}{3}\)

\(x\left(\frac{3}{5}-\frac{2}{3}-1\right)=\frac{-5}{3}\)

\(x.\frac{-16}{15}=\frac{-5}{3}\)

\(x=\frac{25}{16}\)

k đúng thì thôi nhá lm theo cảm tính thôi

1.

A=\(\frac{-5x+-5y+-5z}{21}=\frac{-5\left(x+y+z\right)}{21}=\frac{-5}{21}.x+y+z\)

A= -z+z=0

<p style="padding: 10000000000000000px;" class="alert success"></p>

ai tích mình mình tích lại cho

\(a/\frac{7}{9}-\frac{x}{3}=\frac{1}{9}\)

\(\Rightarrow\frac{x}{3}=\frac{7}{9}-\frac{1}{9}\)

\(\Rightarrow\frac{x}{3}=\frac{2}{3}\)

\(\Rightarrow x=2\)

Vậy \(x=2\)

\(b/\frac{1}{x}-\frac{-2}{15}=\frac{7}{15}\)

\(\Rightarrow\frac{1}{x}=\frac{7}{15}+\frac{-2}{15}\)

\(\Rightarrow\frac{1}{x}=\frac{1}{3}\)

\(\Rightarrow x=3\)

Vậy \(x=3\)

\(c/\frac{-11}{14}-\frac{-4}{x}=\frac{-3}{14}\)

\(\Rightarrow\frac{-4}{x}=\frac{-11}{14}-\frac{-3}{14}\)

\(\Rightarrow\frac{-4}{x}=\frac{-4}{7}\)

\(\Rightarrow x=7\)

Vậy \(x=7\)

\(d/\frac{x}{21}-\frac{2}{3}=\frac{5}{21}\)

\(\Rightarrow\frac{x}{21}=\frac{5}{21}+\frac{2}{3}\)

\(\Rightarrow\frac{x}{21}=\frac{19}{21}\)

\(\Rightarrow x=19\)

Vậy \(x=19\)

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\(a,\frac{5}{7}+x=\frac{29}{21}\)

               \(x=\frac{29}{21}-\frac{5}{7}\)

               \(x=\frac{2}{3}\)

\(b,\frac{15}{2}-x=\frac{21}{14}\)

                 \(x=\frac{15}{2}-\frac{21}{14}\)

                 \(x=\frac{6}{1}\Leftrightarrow6\)

a) 5/7 +x= 29/21

=> x= 29/21 - 5/7

=>x= 14/21= 2/3

b) 15/2 -x= 21/14

<=> 15/2 -x= 3/2

=> x= 15/2 -3/2

=>x= 6

5/7+x=29/21   => x=29/21-5/7=2/3

15/2-x=21/14=3/2   => x=15/2-3/2=12/x=6

A) \(\frac{7}{\left(x+3\right)\left(x+10\right)}+\frac{11}{\left(x+10\right)\left(x+21\right)}+\frac{13}{\left(x+21\right)\left(x+34\right)}\)

\(=\frac{\left(x+10\right)-\left(x+3\right)}{\left(x+3\right)\left(x+10\right)}+\frac{\left(x+21\right)-\left(x+10\right)}{\left(x+10\right)\left(x+21\right)}+\frac{\left(x+34\right)-\left(x+21\right)}{\left(x+21\right)\left(x+34\right)}\)

\(=\frac{1}{x+3}-\frac{1}{x+10}+\frac{1}{x+10}-\frac{1}{x+21}+\frac{1}{x+21}-\frac{1}{x+34}\)

\(=\frac{1}{x+3}-\frac{1}{x+34}\)

\(=\frac{\left(x+34\right)-\left(x+3\right)}{\left(x+3\right)\left(x+34\right)}\)\(=\frac{x}{\left(x+3\right)\left(x+34\right)}\)

\(\Rightarrow\left(x+34\right)-\left(x+3\right)=x\)

\(\Rightarrow x=31\)

Vậy, x = 31 

Bạn áp dụng: \(\frac{k}{x\cdot\left(x+k\right)}=\frac{1}{x}-\frac{1}{x+k}\) với    \(x,k\inℝ;x\ne0;x\ne-k\)

Chứng minh: \(\frac{1}{x}-\frac{1}{x+k}=\frac{x+k}{x\left(x+k\right)}-\frac{x}{x\left(x+k\right)}=\frac{x+k-x}{x\left(x+k\right)}=\frac{k}{x\left(x+k\right)}\)

B) \(\frac{\left(x-4\right)-\left(x-7\right)}{\left(x-7\right)\left(x-4\right)}+\frac{\left(x-7\right)-\left(x-13\right)}{\left(x-13\right)\left(x-7\right)}+\frac{\left(x-13\right)-\left(x-28\right)}{\left(x-28\right)\left(x-13\right)}\)

\(=\frac{1}{x-7}-\frac{1}{x-4}+\frac{1}{x-13}-\frac{1}{x-7}+\frac{1}{x-28}-\frac{1}{x-13}\)

\(=\frac{1}{x-28}-\frac{1}{x-4}=-\frac{5}{2}+\frac{1}{x-28}\)

\(\Leftrightarrow\frac{1}{x-28}-\frac{1}{x-4}-\frac{1}{x-28}=-\frac{5}{2}\)

\(\Leftrightarrow\frac{1}{x-4}=\frac{5}{2}\)

=> 5x - 20 = 2

=> 5x = 22 

\(\Rightarrow x=\frac{22}{5}=4,4\)

Vậy, x = 4,4

\(\frac{x-1}{21}=\frac{3}{x+1}\)

=> \(\left(x-1\right)\left(x+1\right)=21\cdot3\)

=> \(x^2-1=63\)

=> \(x^2=64\)

=> \(\orbr{\begin{cases}x^2=8^2\\x^2=\left(-8\right)^2\end{cases}\Rightarrow}\orbr{\begin{cases}x=8\\x=-8\end{cases}}\)

\(2\frac{7}{9}-\frac{12}{13}x=\frac{7}{9}\)

=> \(\frac{12}{13}x=2\)

=> \(x=\frac{13}{6}\)

d, \(\frac{x-1}{21}=\frac{3}{x+1}\)

\(\Leftrightarrow\left(x-1\right)\left(x+1\right)=63\)

\(\Leftrightarrow x^2-1=63\Leftrightarrow x^2=64\Leftrightarrow x=\pm8\)

e, \(2\frac{7}{9}-\frac{12}{13}x=\frac{7}{9}\)

\(\Leftrightarrow\frac{12}{13}x=2\Leftrightarrow x=\frac{13}{6}\)