\(\frac{x}{2}=\frac{y}{3}\Rightarrow\frac{x}{14}=\frac{y}{21}\)

\(\frac{y}{7}=\frac{z}{4}\Rightarrow\frac{y}{21}=\frac{z}{12}\)

\(\Leftrightarrow\frac{x}{14}=\frac{y}{21}=\frac{z}{12}=\frac{x+y-z}{14+21-12}=\frac{69}{23}=3\)

\(\Rightarrow x=52;y=63;z=36\)

\(\hept{\begin{cases}\frac{x}{2}=\frac{y}{3}\\\frac{y}{7}=\frac{z}{4}\end{cases}\Rightarrow\hept{\begin{cases}\frac{x}{14}=\frac{y}{21}\\\frac{y}{21}=\frac{z}{12}\end{cases}\Rightarrow}\frac{x}{14}=\frac{y}{21}=\frac{z}{12}}\)

Áp dụng tính chất dãy tỉ số bằng nhau:

\(\frac{x}{14}=\frac{y}{21}=\frac{z}{12}=\frac{x+y-z}{14+21-12}=\frac{69}{23}=3\)

\(\Rightarrow\hept{\begin{cases}x=3.14=42\\y=3.21=63\\z=3.12=36\end{cases}}\)

Ta có:

\(\frac{x}{2}=\frac{y}{3};\frac{y}{7}=\frac{z}{4}\)

=> \(\frac{x}{14}=\frac{y}{21};\frac{y}{21}=\frac{z}{12}\)

=> \(\frac{x}{14}=\frac{y}{21}=\frac{z}{12}=\frac{x+y-z}{14+21-12}=\frac{69}{23}=3\)

Từ trên ta có:

\(\frac{x}{14}=3=>x=3.14=42\)

\(\frac{y}{21}=3=>y=3.21=63\)

\(\frac{z}{12}=3=>z=3.12=36\)

Vậy x = 42

       y = 63

       z = 36

ỦNG HỘ NHA

\(\frac{5}{x-2}=\frac{15}{6}\)

\(\Rightarrow15x-30=30\)

\(15x=60\)

\(x=4\)

x = 4

k cho mk nha

ai k mk mk k lại

X = 4

Ai k mik mik k lai

a) 123- 5(x+4)=38                                                           b(3x -2^4 )*7^3= 2*7^4

              5(x+4) =123-38                                                    (3x-16) = 2*7^4 /7^3

              5(x+4)=85                                                            3x-16= 2*7

                 x+4=85/5                                                          3x-16=14

                    x+4=17                                                          3x=30

                      =>x= 13                                                          x= 30/3=10

Nhớ k cho mk nha 

a ) \(123-5.\left(x+4\right)=38\)

\(5.\left(x+4\right)=123-38\)

\(5.\left(x+4\right)=85\)

\(x+4=85:5\)

\(x+4=17\)

\(x=17-4\)

\(\Rightarrow\frac{x+1+y+2+z+3}{3+4+5}\)

\(\Rightarrow\frac{24}{12}=2\)

\(\frac{x+1}{3}=2\Rightarrow x=5\)

\(\frac{y+2}{4}=2\Rightarrow y=6\)

\(\frac{z+3}{5}=2\Rightarrow z=7\)

\(x-0,27=\frac{\frac{73}{77}+\frac{73}{165}+\frac{73}{285}}{25.\left(\frac{5}{84}+\frac{3}{180}+\frac{4}{285}\right)}\)

\(x-\frac{27}{100}=\frac{73.\left(\frac{1}{77}+\frac{1}{165}+\frac{1}{285}\right)}{25.4.\left(\frac{5}{4.84}+\frac{3}{4.180}+\frac{4}{4.285}\right)}\)

\(x-\frac{27}{100}=\frac{73.\left(\frac{2}{105}+\frac{1}{285}\right)}{100.\left(\frac{5}{336}+\frac{1}{240}+\frac{1}{285}\right)}\)

\(x-\frac{27}{100}=\frac{73.\left(\frac{2}{105}+\frac{1}{285}\right)}{100.\left(\frac{2}{105}+\frac{1}{285}\right)}\)

\(x-\frac{27}{100}=\frac{73}{100}\)

\(x=\frac{73}{100}+\frac{27}{100}\)

\(x=1\)

Vậy x=1

b) \(\frac{4}{9}x-\frac{1}{2}=\frac{-5}{9}\)

\(\Rightarrow\frac{4}{9}x=\frac{-5}{9}+\frac{1}{2}\)

\(\Rightarrow\frac{4}{9}x=\frac{-1}{18}\)

\(\Rightarrow x=\frac{-1}{18}:\frac{4}{9}\)

\(\Rightarrow x=\frac{-1}{8}\)

a/ \(\Rightarrow\frac{\left(-3\right)^n}{81}=-27\Rightarrow\left(-3\right)^n=-2187\Rightarrow\left(-3\right)^n=\left(-3\right)^7\Rightarrow n=7\)

b/ \(\Rightarrow-\frac{3}{8}-x+\frac{5}{6}=\frac{4}{3}\Rightarrow\frac{11}{24}-x=\frac{4}{3}\Rightarrow x=-\frac{7}{8}\)

Dat \(a=\sqrt[3]{65+x},b=\sqrt[3]{65-x}\)

Bien doi PT thanh \(a^2+4b^2=5ab\)

\(\Leftrightarrow a^2-5ab+4b^2=0\)

\(\Leftrightarrow\left(a^2-ab\right)-\left(4ab-4b^2\right)=0\)

\(\Leftrightarrow a\left(a-b\right)-4b\left(a-b\right)=0\)

\(\Leftrightarrow\left(a-b\right)\left(a-4b\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}a=b\left(1\right)\\a=4b\left(2\right)\end{cases}}\)

\(\left(1\right)\Leftrightarrow\sqrt[3]{65+x}=\sqrt[3]{65-x}\)

\(\Leftrightarrow65+x=65-x\)

\(\Leftrightarrow x=0\left(n\right)\)

\(\left(2\right)\Leftrightarrow\sqrt[3]{65+x}=4\sqrt[3]{65-x}\)

\(\Leftrightarrow65+x=64.65-64x\)

\(\Leftrightarrow65x=64.65-65\)

\(\Leftrightarrow x=63\left(n\right)\)

Vay nghiem cua PT la \(x=0,x=63\)