Final answer:
To solve the system of equations x+y=4 and x−y=−4 graphically, plot the lines y=-x+4 and y=x+4 on a graph. The point of intersection is (0, 4), so the solution is x = 0 and y = 4.
Step-by-step explanation:
To solve the system of equations x+y=4 and x−y=−4 graphically, we can plot the two lines on a graph and find their point of intersection.
For the first equation, x+y=4, we can rearrange it as y=-x+4. For the second equation, x−y=−4, we can rearrange it as y=x+4.
Plotting the lines y=-x+4 and y=x+4 on a graph, we can see that they intersect at the point (0, 4). Therefore, the solution to the system of equations is x = 0 and y = 4.