Question

a.x-1/18 =-4/15

      B.2x-3/-4=x-1/3

      C.x-3/5=5/x-3

 

Answer 1

\(a,x-\dfrac{1}{18}=\dfrac{-4}{15}\\ \Rightarrow x=\dfrac{-4}{15}+\dfrac{1}{18}\\ \Rightarrow x=\dfrac{-19}{90}\)

\(b,2x+\dfrac{3}{4}=x-\dfrac{1}{3}\\ \Leftrightarrow2x-x=-\dfrac{1}{3}-\dfrac{3}{4}\\ \Leftrightarrow x=\dfrac{-4-9}{12}\\ \Leftrightarrow x=-\dfrac{13}{12}\)

\(c,\dfrac{x-3}{5}=\dfrac{5}{x-3}\\ \Leftrightarrow\left(x-3\right)^2=25\\ \Leftrightarrow\left[{}\begin{matrix}x-3=5\\x-3=-5\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=8\\x=-2\end{matrix}\right.\)