The correct option is A an infinite number of solutions
Thegivenequationsare3x−5y+2=0−−−−(1)6x+4=10y−−−−(2)Equation(1)canbewrittenasy=35x+25−−−−(3)andequation(2)canbewrittenasy=610x+410=35x+25−−−−(4)Clearlyfrom(3)and(4)theslopesareequalandeach=35.Sothelinesnevermeet.∴Theyhaveinfinitesolutions.(Ans)