Answer:
(2/3, -5/3)
Explanation:
The point of intersection is found where the (x,y) value exists in both equations for the lines. Thus we can set the two y's equal to each other to see at what y value would the lines intersect. We then plug in the x value found into either equation to find the y value of that corresponding x value of the intersection.
-4x+1=2x-3
-6x=-4
x=2/3
Plug in x=2/3 into either y equation: y = -4(2/3)+1 = -5/3
So the point of intersection of the two lines is (2/3, -5/3)