\(\dfrac{5x+3}{x-4}=2\) (1)
ĐKXĐ: \(x\ne4\)
(1) \(\Leftrightarrow5x+3=2\left(x-4\right)\)
\(\Leftrightarrow5x+3=2x-8\)
\(\Leftrightarrow5x-2x=-8-3\)
\(\Leftrightarrow3x=-11\)
\(\Leftrightarrow x=\dfrac{-11}{3}\) (nhận)
Vậy \(S=\left\{\dfrac{-11}{3}\right\}\)
\(\dfrac{5x+3}{x-4}=2\text{ĐKXĐ:}x\ne4\)
\(\Leftrightarrow\dfrac{5x+3}{x-4}=\dfrac{2\left(x-4\right)}{x-4}MTC:x-4\)
\(\Rightarrow5x+3=2x-8\)
\(\Leftrightarrow5x+3-2x+8=0\)
\(\Leftrightarrow3x+11=0\)
\(\Leftrightarrow3x=-11\)
\(\Leftrightarrow x=\dfrac{-11}{3}\left(\text{nhận}\right)\)
\(\text{Vậy phương trình có tập nghiệm là }S=\left\{\dfrac{-11}{3}\right\}\)
