In order to solve this system of equations, start by multiplying the entire first equation by 2. Then add the two equations together. This will get the y's to cancel and allow you to solve for x.
-4x + 2y = -10
3x - 2y = 12
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-x = 2
x = -2
Now that we have the value for x, we can find y by plugging the x value into either equation.
It would be C because |-6| + |4| is basically 6+4 because the lines make the number positive. 6+4 is 10, which is the x value for the point. That 4 unites us the distance between the points.