The system of equations is:
y = -1/2x + 6
y = 1/2x + 6
The two equations represent the same line with a slope of 1/2 and y-intercept of 6.
When we graph these equations, we get a line that passes through (0,6) and (12,6)
So the solution for this system of linear equations is that both equations represent the same line, and the point of intersection is at (x,y) = (0,6) which is the only point that satisfies both equations.
It's important to note that in this case, these equations are parallel lines and they don't intersect, that means there is no solution for this system of equations.