Question

Tìm các số nguyên x,y biết:

a)\(\dfrac{6}{2x+1}=\dfrac{2}{7}\)

b) \(\dfrac{24}{7x-3}=\dfrac{-4}{25}\)

c) \(\dfrac{4}{x-6}=\dfrac{y}{24}=\dfrac{-12}{18}\)

d) \(\dfrac{-1}{5}\le\dfrac{x}{8}\le\dfrac{1}{4}\)

e) \(\dfrac{x+46}{20}=x\dfrac{2}{5}\)

f) \(y\dfrac{5}{y}=\dfrac{86}{y}\) ( \(x\dfrac{2}{5};y\dfrac{5}{y}\) là các hỗn số)

 

Answer 1

a,\(\dfrac{6}{2x+1}=\dfrac{2}{7}\)

⇒\(\dfrac{6}{2x+1}=\dfrac{6}{21}\)

⇒\(2x+1=21\)

\(2x=21-1\)

\(2x=20\)

⇒\(x=10\)