\(a,\frac{62}{7}:x=\frac{29}{9}:\frac{3}{56}\)

\(\frac{62}{7}:x=\frac{1624}{27}\)

\(x=\frac{62}{7}:\frac{1624}{27}=\frac{837}{5684}\)

\(b,\frac{1}{5}:x=\frac{1}{5}-\frac{1}{7}\)

\(\frac{1}{5}:x=\frac{2}{35}\)

\(x=\frac{1}{5}:\frac{2}{35}=\frac{7}{2}\)

\(c,\frac{2}{3}.x-\frac{4}{7}=\frac{1}{7}\)

\(\frac{2}{3}.x=\frac{1}{7}+\frac{4}{7}=\frac{5}{7}\)

\(x=\frac{5}{7}:\frac{2}{3}=\frac{15}{14}\)

\(d,\frac{2}{7}-\frac{8}{9}.x=\frac{2}{3}\)

\(\frac{8}{9}.x=\frac{2}{7}-\frac{2}{3}=-\frac{8}{21}\)

\(x=-\frac{8}{21}:\frac{8}{9}=-\frac{3}{7}\)

\(e,\frac{4}{7}+\frac{5}{9}:x=\frac{1}{5}\)

\(\frac{5}{9}:x=\frac{1}{5}-\frac{4}{7}=-\frac{13}{35}\)

\(x=\frac{5}{9}:-\frac{13}{35}=\frac{175}{117}\)

\(i,\frac{2}{5}-\frac{2}{5}.x=\frac{2}{5}\)

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

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

\(x=1-1=0\)

\(g,\frac{2}{3}+\frac{1}{3}:x=-1\)

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

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

học tốt nha

x² + 2x = 0

=> x(x + 2) = 0

=> \(\orbr{\begin{cases}x=0\\x+2=0\end{cases}}\)

=> \(\orbr{\begin{cases}x=0\\x=-2\end{cases}}\)

(x - 2) + 3.x² - 6x = 0

=> (x - 2) + 3x² - 3x . 2 = 0

=> (x - 2) + 3x.(x - 2) = 0

=> (1 + 3x)(x - 2) = 0

=> \(\orbr{\begin{cases}1+3x=0\\x-2=0\end{cases}}\)

=> \(\orbr{\begin{cases}x=-\frac{1}{3}\\x=2\end{cases}}\)

Ta có x + y = x.y

=> x + y - x.y = 0

=> x + y(1 - x) = 0

=> x - y(x - 1) = 0

=> (x - 1) - y(x - 1) = -1

=> (x - 1) . (1 - y) = -1

=> x - 1 và 1 - y là ước của -1 = {1;-1}

Nếu x - 1 = 1; 1 - y = -1 =>  x = 2 ; y = 2

Nếu x - 1 = -1; 1 - y = 1 => x = 0; y = 0

\(\frac{x-2}{x+6}=\frac{5}{7}\)

\(\Leftrightarrow\frac{5}{7}.\left(x+6\right)=x-2\)

\(\Leftrightarrow\frac{5}{7}x+\frac{30}{7}=x-2\)

\(\Leftrightarrow\frac{5}{7}x-x=-2-\frac{30}{7}\)

\(\Leftrightarrow-\frac{2}{7}x=-\frac{44}{7}\)

\(\Leftrightarrow x=-\frac{44}{7}:\left(-\frac{2}{7}\right)\)

\(\Leftrightarrow x=\frac{44}{7}.\frac{7}{2}=22\)

\(\frac{x-2}{x+6}=\frac{5}{7}\)

\(\Leftrightarrow7\left(x-2\right)=5\left(x+6\right)\)

\(\Rightarrow7x-14=5x+30\)

\(\Rightarrow7x-5x=14+30\)

\(\Rightarrow2x=44\)

\(\Rightarrow x=44:2=22\).

Chúc bạn học tốt ! Thanks !

Ta có: \(\frac{x+2}{3}=\frac{y-1}{4}=\frac{z+5}{7}\)

\(\Rightarrow\frac{2\left(x+2\right)}{6}=\frac{y-1}{4}=\frac{z+5}{7}\)

\(\Rightarrow\frac{2x+4}{6}=\frac{y-1}{4}=\frac{z+5}{7}\)

Áp dụng tính chất dãy tỉ số bằng nhau được:

\(\frac{2x+4-\left(y-1\right)+z+5}{6-4+7}=\frac{2x+4-y+1+z+5}{6-4+7}=\frac{\left(2x-y+z\right)+\left(4+1+5\right)}{6-4+7}\)

                                                                                                     \(=\frac{17+10}{9}=\frac{27}{9}=3\)

Suy ra: \(2x+4=6.3\Rightarrow2x=14\Rightarrow x=7\)

            \(y-1=3.4\Rightarrow y=13\)

             \(z+5=3.7\Rightarrow z=16\)

Vậy x = 7 ; y = 13; z = 16

\(x+x\cdot3:\dfrac{2}{9}+x:\dfrac{2}{7}=252\)

\(\Leftrightarrow x+x\cdot3\cdot\dfrac{9}{2}+x\cdot\dfrac{7}{2}=252\)

\(\Leftrightarrow x\cdot18=252\)

hay x=14

HELP ME PLEASE AND QUICKLY PLEASE!! 3TK......

Lâu zậy hok ai jup mk ra rùi nè! Hok cần các bn làm jup nữa!! HIHI!

x=12