Final answer:
To solve this system of equations by graphing, first plot the equations, find the point of intersection, and determine the solution. The solution to the given system of equations is x = 4 and y = 14.
Step-by-step explanation:
To solve this system of equations by graphing, we will first graph the two equations and then find the point of intersection, which represents the solution.
The given equations are:
y = 5/2x + 4
y = 1/2x
To graph the equations, we need to assign values to x and find the corresponding values of y. Let's assume some values for x and calculate y:
For the first equation, when x = 0, y = 4. When x = 2, y = 9.5. When x = 4, y = 15.
For the second equation, when x = 0, y = 0. When x = 2, y = 1. When x = 4, y = 2.
Now we can plot these points on a graph and draw lines through them. The point where the lines intersect is the solution to the system of equations.
By graphing the equations, we find that the lines intersect at the point (4, 14). Therefore, the solution to the system of equations is x = 4 and y = 14.