Question

1+2y/18=1+4y/24=1+6y/6x

Answer 1

\(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}\)

Ta có: 

\(\frac{1+2y}{18}=\frac{1+4y}{24}\Leftrightarrow24+48y=18+72y\Leftrightarrow y=\frac{1}{4}\Rightarrow\frac{1+4y}{24}=\frac{1}{12}\).

\(\frac{1+6y}{6x}=\frac{1}{12}\Leftrightarrow x=2\left(1+6y\right)=2\left(1+\frac{3}{2}\right)=5\).

Answer 2

\(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}\)

Ta có :

\(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}\)

\(\Rightarrow\frac{1+4y}{24}=\frac{1+2y+1+6y}{18+6x}\)

\(\Rightarrow\frac{1+4y}{24}=\frac{2+8y}{2\left(9+3x\right)}\)

\(\Rightarrow9+3x=24\)

\(3x=15\)

\(\Rightarrow x=5\)