Answer: no solutions.
Explanation:
get y by itself on one equation.
-4x + y = 3 ... add 4x to each side.
y = 4x + 3
plug in 4x + 3 for y in the other equation.
8x - 2y = 1
8x - 2(4x+ 3) = 1 ... plug in the y value
8x - 8x + 3 = 1 ... distribute the 2
3 = 1 ... solve
3 does not equal 1 so it is no solutions.