Steps:I will try to solve your system of equations.y=−2x+3;6x+3y=9Step: Solvey=−2x+3for y:Step: Substitute−2x+3foryin6x+3y=9:6x+3y=96x+3(−2x+3)=99=9(Simplify both sides of the equation)9+−9=9+−9(Add -9 to both sides)0=0Answer:Infinitely many solutions.