thank you very much

\(\frac{3}{x-5}=-\frac{4}{x+2}\)

\(\Leftrightarrow3\left(x+2\right)=-4\left(x-5\right)\)

\(\Leftrightarrow3x+6=-4x+20\)

\(\Leftrightarrow7x=14\)

\(\Leftrightarrow x=2\)

\(\frac{x}{-2}=-\frac{8}{x}\)

\(\Leftrightarrow x^2=16\)

\(\Leftrightarrow x=\pm4\)

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

\(\Leftrightarrow xy=-6\)

\(\Leftrightarrow x;y\inƯ\left(-6\right)=\left\{\pm1;\pm2;\pm3;\pm6\right\}\)

Xét bảng

Vậy.................

\(\frac{2x-9}{240}=\frac{39}{80}\)

\(\Leftrightarrow2x-9=\frac{240.39}{80}\)

\(\Leftrightarrow2x-9=117\)

\(\Leftrightarrow2x=126\)

\(\Leftrightarrow x=63\)

câu c: ( ảnh kia câu c mình chụp chưa rõ nên chụp lại nhe) chữ nó xấu gì đâu:)

\(\frac37+\frac{5}{13}+\frac{4}{13}\)

=\(\frac37+\left(\frac{5}{13}+\frac{4}{13}\right)\)

=\(\frac37+\frac{9}{13}\)

=\(\frac{39}{91}+\frac{63}{91}\)

=\(\frac{102}{91}\)

\(\left(\frac38+\frac{-3}{4}+\frac{7}{12}\right):\frac56+\frac12\)

=\(\left(\frac{9}{24}+\frac{-18}{24}+\frac{7}{24}\right)\times\frac65+\frac12\)

=\(\frac{5}{24}\times\frac65+\frac12\)

=\(\frac14+\frac12\)

=\(\frac14+\frac24\)

=\(\frac34\)

8/12=4/6;7/14=21/42

k mình nha

Ai nhanh nhat mk tk

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

\(A=21\frac{4}{11}-\left(1\frac{3}{5}+7\frac{4}{11}\right)\)

\(A=\frac{235}{11}-\left(\frac{8}{5}+\frac{81}{11}\right)\)

\(A=\left(\frac{235}{11}-\frac{81}{11}\right)+\frac{8}{5}\)

\(A=\frac{154}{11}+\frac{8}{5}\)

\(\Rightarrow A=\frac{78}{5}\)

\(B=\left(7\frac{8}{9}+2\frac{3}{13}\right)-\left(4\frac{8}{9}-7\frac{10}{13}\right)\)

\(B=\left(\frac{71}{9}+\frac{29}{13}\right)-\left(\frac{44}{9}-\frac{101}{13}\right)\)

\(B=\left(\frac{71}{9}-\frac{44}{9}\right)+\left(\frac{29}{13}-\frac{101}{13}\right)\)

\(B=\frac{27}{9}+\frac{-72}{13}\)

\(B=3+\frac{-72}{13}\)

\(\Rightarrow B=\frac{-33}{13}\)

P/s: Hoq chắc :v

Ta có : \(\frac{2}{3}=\frac{2.4}{3.4}=\frac{8}{12}\); \(\frac{1}{4}=\frac{1.3}{4.3}=\frac{3}{12}\)

8/12 > 3/12 => 2/3 > 1/4

\(\frac{7}{10}< \frac{7}{8}\)vì khi hai có tử giống nhau thì mẫu nào nhỏ hơn thì số đó lớn hơn và ngược lại.

\(\frac{6}{7}=\frac{6.5}{7.5}=\frac{30}{35}\); \(\frac{3}{5}=\frac{3.7}{5.7}=\frac{21}{35}\)

30/35 > 21/35 => 6/7 > 3/5

\(\frac{14}{21}< \frac{60}{72}\) vì 14.72 < 60.21

\(\frac{2}{3}>\frac{2}{4}>\frac{1}{4}\)

\(\frac{7}{10}< \frac{7}{8}\)

\(\frac{6}{7}>\frac{6}{10}=\frac{3}{5}\)

\(\frac{14}{21}=\frac{2}{3}=\frac{4}{6}< \frac{5}{6}=\frac{60}{72}\)

a, \(\frac{-3}{5}+\frac{7}{21}+\frac{-4}{5}+\frac{7}{5}\)

\(=\left(\frac{-3}{5}+\frac{-4}{5}+\frac{7}{5}\right)+\frac{7}{21}\)

\(=0+\frac{7}{21}\)

\(=\frac{7}{21}\)

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

b, \(\frac{8}{9}+\frac{1}{9}.\frac{7}{9}+\frac{1}{9}.\frac{2}{9}\)

\(=\frac{8}{9}+\frac{1}{9}.\left(\frac{7}{9}+\frac{2}{9}\right)\)

\(=\frac{8}{9}+\frac{1}{9}.1\)

\(=\frac{8}{9}+\frac{1}{9}\)

\(=1\)

a) \(\frac{-3}{5}\)+\(\frac{7}{21}\)+\(\frac{-4}{5}\)+\(\frac{7}{5}\)

=(\(\frac{-3}{5}\)+\(\frac{-4}{5}\)+\(\frac{7}{5}\)) +\(\frac{7}{21}\)

= 0+