Final answer:
To solve the system of equations graphically, plot the equations on a set of axes and find the point of intersection.
Step-by-step explanation:
To solve the system of equations graphically, we need to plot the equations on the set of axes. Let's start with the first equation: y = 1/2 x - 7. We can find two points on this line by choosing two x-values and calculating the corresponding y-values. For example, when x = 0, y = 1/2(0) - 7 = -7. So one point on the line is (0, -7). When x = 2, y = 1/2(2) - 7 = -6. So another point on the line is (2, -6). We can plot these points and draw a straight line through them.
Next, let's plot the second equation: y = 2x - 7. Using the same process, we can find two points on this line. When x = 0, y = 2(0) - 7 = -7. So one point is (0, -7). When x = 2, y = 2(2) - 7 = -3. So another point is (2, -3). We can plot these points and draw a line through them, as well.
Now, we need to find the point of intersection between these two lines. This point represents the solution to the system of equations. In this case, the lines intersect at the point (4, -5). Therefore, the solution is x = 4 and y = -5.