OK.
Solve for y:
[tex]3x+6y=5\ \ \ \ |-3x\\\\6y=-3x+5\ \ \ \ |:6\\\\y=\dfrac{-3x+5}{6}[/tex]
By choosing any value, we calculate the value of y.
[tex]x=0\to y=\dfrac{-3(0)+5}{6}=\dfrac{5}{6}\\\\x=1\to y=\dfrac{-3(1)+5}{6}=\dfrac{2}{6}=\dfrac{1}{3}[/tex]