Nhân chéo thử ik bn, thử thui nha chứ mk k bít đâu!!
\(\frac{1+3y}{12}=\frac{1+6y}{16}=\frac{1+9y}{4x}\)
\(=\frac{\left(1+6y\right)-\left(1+3y\right)}{16-12}=\frac{\left(1+9y\right)-\left(1+6y\right)}{4x-16}\)
\(=\frac{3y}{4}=\frac{3y}{4x-16}\)(1)
\(\text{TH1 Nếu y=0}\)
\(\Rightarrow\frac{1}{12}=\frac{1}{16}\left(\text{vô lí}\right)\)
\(\text{TH2 nếu y khác 0}\)
\(\text{(1)}\Rightarrow4x-16=4\)
\(\Rightarrow x=5\)
\(\text{Với x=5 }\)
\(\Rightarrow\frac{1+6y}{16}=\frac{1+9y}{4.5}\)
\(\Rightarrow\frac{1+6y}{16}=\frac{1+9y}{20}\)
\(\Rightarrow5\left(1+6y\right)=4\left(1+9y\right)\)
\(\Rightarrow5+30y=4+36y\)
\(\Rightarrow1=6y\)
\(\Rightarrow y=\frac{1}{6}\)
\(\text{Vậy x=5, y=}\frac{1}{6}\)
TTk mk nha bạn