Answer: No Solution.
Explanation:
To solve the system of equations 2x - y = -1 and 4x - 2y = 6 graphically, we can plot the two lines represented by each equation on the same coordinate plane and find the point of intersection, if it exists.
To graph the line 2x - y = -1, we can rearrange it into slope-intercept form:
y = 2x + 1
This equation represents a line with slope 2 and y-intercept 1. We can plot this line by starting at the y-intercept (0, 1) and moving up 2 units and right 1 unit to find another point on the line. Connecting these two points gives us the graph of the line (Look at the first screenshot).
To graph the line 4x - 2y = 6, we can rearrange it into slope-intercept form:
y = 2x - 3
This equation represents a line with slope 2 and y-intercept -3. We can plot this line by starting at the y-intercept (0, -3) and moving up 2 units and right 1 unit to find another point on the line. Connecting these two points gives us the graph of the line (Look at the second screenshot).
We can see from the graphs that the two lines are parallel and do not intersect. Therefore, there is no point of intersection and no solution to the system of equations.