Step 1 :First, we rewrite the equations in slope-intercept form (y = mx + b). The first equation becomes \(y = -0.5x + 0.5\), and the second equation becomes \(y = -3x + 7\).
Step 2 :We then graph these two lines. The first line has a slope of -0.5 and a y-intercept of 0.5. The second line has a slope of -3 and a y-intercept of 7.
Step 3 :The solution to the system of equations is the point where the two lines intersect. By observing the graph, we can see that the two lines intersect at the point (-2, 1.5).
Step 4 :Thus, the solution to the system of equations is \(\boxed{(-2, 1.5)}\).