Final answer:
To solve the system of equations graphically, rearrange each equation to solve for y, plot the graphs of the equations on the same graph, and find the point of intersection.
Step-by-step explanation:
To solve the system of equations graphically, we can start by rearranging each equation to solve for y. For the first equation, 2x + y = 5, subtract 2x from both sides to get y = -2x + 5. For the second equation, 3x - 2y = 6, subtract 3x from both sides and divide by -2 to get y = -(3/2)x + 3.
Now we can plot the graphs of these two equations on the same graph. Choose a few values for x and calculate the corresponding values of y using the equations. Plot these points and draw a line through them. The point where the two lines intersect is the solution to the system of equations.
In this case, the lines intersect at the point (1, 3). Therefore, the solution to the system of equations is x = 1 and y = 3.