\(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}=\frac{2\left(x-1\right)+3\left(y-2\right)-\left(z-3\right)}{4+9-4}\)
\(=\frac{2x-2+3y-6-x+3}{9}=\frac{50-5}{9}=5\)
Suy ra: \(x-1=10\Rightarrow x=11\)
\(y-2=15\Rightarrow y=17\)
\(z-3=20\Rightarrow z=23\)
Áp dụng tc dãy TSBN có:
\(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}=\frac{2x-2}{4}=\frac{3y-6}{9}=\frac{\left(2x-2\right)+\left(3y-6\right)-\left(z-3\right)}{4+9-4}=\frac{50-5}{9}=5\)
- Nhưng mà bn ơi \(\frac{50-5}{9}\)ở đâu ra v bạn???