We can solve this system of equations by adding them together, as the +x and -x will cancel:
3y + x = 4
+2y - x = 6
5y = 10
y = 2
Now we can find the x value by substituting the y value into one of the equations:
3(2) + x = 4
6 + x = 4
x = -2
Therefore your answer is (-2, 2). We know that it is the first option and not the last option because the point (-2, 2) does lie on both lines as it satisfies both equations when substituted in.
