Question

tim xy biết 1+2y/18=1+4y/24+1+6y/6x

Answer 1

Ta có: \(\dfrac{1+2y}{18}=\dfrac{1+4y}{24}\)

\(\Rightarrow\) 24 . (1 + 2y) = 18 . (1 + 4y)

\(\Rightarrow\) 24 + 48y = 18 + 72y

\(\Rightarrow\) 24 - 18 = 72y - 48y

\(\Rightarrow\) 6 = 24y

\(\Rightarrow\) y = \(\dfrac{1}{4}\)

Thay y = \(\dfrac{1}{4}\) ta có:

\(\dfrac{1+1}{24}=\dfrac{1+\dfrac{3}{2}}{6x}\)

\(\Rightarrow\) \(\dfrac{1}{12}=\dfrac{\dfrac{5}{2}}{6x}\)

\(\Rightarrow\) \(6x=\dfrac{5}{2}.12\)

\(\Rightarrow\) \(6x=30\)

\(\Rightarrow\) \(x=5\)

Vậy x = 5 và y = \(\dfrac{1}{4}\)