Focus on equation 2 for now. Multiply both sides of that equation by 2 to clear out the fraction.
x = (-1/2)y + 6
2*x = 2*[(-1/2)y + 6]
2x = 2*(-1/2)y + 2*6
2x = -y + 12
Now add y to both sides
2x = -y + 12
2x+y = -y + 12+y
2x+y = 12
We end up getting what equation 1 is saying. Equation 1 and equation 2 are identical equations just written in different forms. They produce the same graph. Therefore, you'll have infinitely many solutions. One line is directly on top of the other one.