Final answer:
To solve the system by graphing, plot the lines represented by the equations and find their point of intersection. The solution is x = 2 and y = 3.
Step-by-step explanation:
To solve the system of equations by graphing, we need to plot the lines represented by the equations and find their point of intersection.
Starting with the first equation:
We can rewrite it as:
Using the slope-intercept form, we know that the y-intercept is 1 and the slope is 3/1, which means for every 1 unit increase in x, there is a 3 unit increase in y.
Now, let's graph the second equation:
Using the slope-intercept form, the y-intercept is 5 and the slope is -1/1, which means for every 1 unit increase in x, there is a 1 unit decrease in y.
Plotting the lines on the graph, we find that they intersect at the point (2, 3).
Therefore, the solution to the system is x = 2 and y = 3.