Answer:
Explanation:
The two equations given represent two lines in a coordinate plane.
y = -1/2x + 4 has a slope of -1/2 and a y-intercept of 4.
y = -1/2x - 6 has the same slope of -1/2 but a y-intercept of -6.
Since the two lines have different y-intercepts, they will intersect at some point.
To find the point of intersection, we can set the two equations equal to each other and solve for x:
-1/2x + 4 = -1/2x - 6
Adding 1/2x to both sides:
4 = -6
This is a contradiction, so there is no solution for this system of equations.
Therefore, there is no point of intersection between the two lines, and there are no solutions to the system of equations.