Answer
$$y=-2,\:x=2$$
Work Step by Step
Recall, if we wanted to solve the system by graphing it, we would use the fact that the intersection of the lines on the graph is the solution.
Here, we solve the equation using the substitution method to obtain:
$$4\cdot \frac{-2-3y}{2}+7y=-6 \\ y=-2$$
Thus:
$$x=\frac{-2-3\left(-2\right)}{2}=2$$
