The linear equations are\\\\( 6x-3y+10=0\\\\)\\\\( 2x-y+9=0\\\\)Here, \\\\(a_{1}=6,b_{1}=-3,c_{1}=10\\\\)\\\\(a_{2}=2,b_{2}=-1,c_{2}=9\\\\)\\\\(\ herefore \\displaystyle \\frac{a_{1}}{a_{2}}=\\frac{6}{2}=3\\\\)\\\\(\\displaystyle \\frac{b_{1}}{b_{2}}=\\frac{-3}{-1}=3\\\\)\\\\(\\displaystyle \\frac{c_{1}}{c_{2}}=\\frac{10}{9} \\\\)\\\\(\\Rightarrow \\displaystyle \\frac{a_{1}}{a_{2}}=\\frac{b_{2}}{b_{2}}\
eq \\frac{c_{1}}{c_{2}}\\\\)\\\\(\ herefore\\\\) The lines represented by the given equations are parallel.