To graph the system of linear equations y = x + 5 and y = 2x + 2, plot the points that satisfy each equation and draw lines through them. The intersection point of the lines is the solution to the system.
Step-by-step explanation:
To graph the system of linear equations y = x + 5 and y = 2x + 2, we can start by setting up a coordinate plane. Then, plot the points that satisfy each equation and draw a line through those points. The intersection point of the two lines will be the solution to the system.
For the first equation, y = x + 5, we can choose different values for x and calculate the corresponding y values. For example, when x = 0, y = 5; when x = 1, y = 6. Plotting these points, we can draw a line through them.
Similarly, for the second equation, y = 2x + 2, we can choose different values for x and calculate the corresponding y values. For example, when x = 0, y = 2; when x = 1, y = 4. Plotting these points, we can draw a line through them.
The solution to the system of equations is the intersection point of the two lines, which can be found by solving the equations. In this case, the intersection point is (3, 8).