a.\(\dfrac{x+1}{3}=\dfrac{4}{-12}\)
\(\Leftrightarrow-12\left(x+1\right)=12\)
\(\Leftrightarrow x+1=-1\)
\(\Leftrightarrow x=-2\)
b.\(\dfrac{x}{3}=\dfrac{2}{y}\)
\(\Leftrightarrow xy=6\)
\(\Leftrightarrow\left(x;y\right)=\left(1;6\right)\left(6;1\right)\left(2;3\right)\left(3;2\right)\)
c.\(-\dfrac{3}{4}=\dfrac{2}{-\left(x-1\right)}\)
\(\Leftrightarrow3\left(x-1\right)=8\)
\(\Leftrightarrow3x-3=8\)
\(\Leftrightarrow3x=11\)
\(\Leftrightarrow x=\dfrac{11}{3}\)