Answer
infinite number of solutions
Work Step by Step
Equation 1: $2x + y = 3$
Equation 2: $6x + 3y = 9$
Multiply equation 1 by $-3$:
$$[2x + y = 3]\cdot-3$$ $$-6x -3y = -9$$
Add this equation to equation 2:
$$-6x -3y = -9$$ $$+$$ $$6x + 3y = 9$$ $$=$$ $$0=0$$
Since both sides are equal, therefore there are infinite number of solutions for the system.