Question

Tìm x

2x-3/5=x-2/4

(2x-3 là tử 5 là mẫu, x-2 là tử 4 mẫu)

Answer 1

\(\dfrac{2x-3}{5}=\dfrac{x-2}{4}\)
\(\Rightarrow\left(2x-3\right)\cdot4=\left(x-2\right)\cdot5\)
\(\Rightarrow8x-12=5x-10\)
\(\Rightarrow8x-5x=-10+12\)
\(\Rightarrow3x=2\)
\(\Rightarrow x=\dfrac{2}{3}\)
Vậy \(x=\dfrac{2}{3}\)
#kễnh

Answer 2

\(\dfrac{2x-3}{5}=\dfrac{x-2}{4}\)

\(\Leftrightarrow4\left(2x-3\right)=5\left(x-2\right)\)

\(\Leftrightarrow8x-12=5x-10\)

\(\Leftrightarrow3x=2\)

\(\Leftrightarrow x=\dfrac{2}{3}\)