The given equations are:\\\\(x+2y+5= 0 \\\\)\\\\(-3x-6y+1 = 0\\\\)From the given equations we have:\\\\( \\displaystyle\\frac{a_{1}}{a_{2}} = \\frac{1}{-3}\\\\)\\\\( \\displaystyle \\frac{b_{1}}{b_{2}} = \\frac{2}{-6} = \\frac{1}{-3} \\\\)\\\\(\\displaystyle\\frac{c_{1}}{c_{2}} =\\displaystyle \\frac{5}{1}\\\\)\\\\(\\Rightarrow \\displaystyle\\frac{a_{1}}{a_{2}} = \\displaystyle \\frac{b_{1}}{b_{2}} \
eq \\frac{c_{1}}{c_{2}}\\\\)Hence the given pair of equations have no solution.