Final answer:
To solve the simultaneous equations 2x-y=-1 and x-2y=4 graphically, plot the graphs of these equations on the same coordinate plane and find the point of intersection.
Step-by-step explanation:
To solve the simultaneous equations 2x-y=-1 and x-2y=4 graphically, you can plot the graphs of these two equations on the same coordinate plane. The solutions to the equations will be the points of intersection between the two graphs.
First, rearrange the equations into the form y = mx + c (where m is the slope and c is the y-intercept). The first equation becomes y = 2x + 1, and the second equation becomes y = 0.5x - 2.
Next, plot the graphs of these two equations on the same coordinate plane and locate the point of intersection. This point represents the solution to the simultaneous equations. In this case, the point of intersection is (3, 7).