Answer:
To graph the system of equations:
1. Rewrite the equations in slope-intercept form (y = mx + b):
y = -2x + 4
3y = -6x + 12
y = -2x + 4
2. Plot the y-intercept of the first equation, which is (0, 4). Then use the slope of -2 (rise of -2 and run of 1) to plot additional points and draw the line.
3. Plot the y-intercept of the second equation, which is (0, 4). Then use the slope of -2 (rise of -2 and run of 1) to plot additional points and draw the line.
The solution to the system of equations is the point where the two lines intersect. From the graph, we can see that the lines intersect at the point (2, 0).
Therefore, the solution to the system of equations by graphing is:
x = 2
y = 0
Answer box: (2, 0)