Answer
The system has no solution.
Work Step by Step
Equation 1: $4x - 6y = 7$
Equation 2: $-2x + 3y = 0$
Multiply equation 2 by $2$:
$$[-2x + 3y = 0]\cdot 2$$ $$-4x + 6y = 0$$
Add this equation to equation 1:
$$4x - 6y = 7$$ $$+$$ $$-4x + 6y = 0$$ $$=$$ $$0=7$$
Since both sides are not equal, therefore the system has no solution.