To write the system of equations represented in the graph, we need to find the equations of the lines. Therefore, let's identify their slopes and y-intercepts.
The slopes of the lines are m1=1-3=-3andm2=12=2,
and the y-intercepts are b1=1 and b2=6. We can now write the system of equations by substituting the values into the slope-intercept form.
The solution to this system of linear equations is the x-value and y-value value where the graphs intersect.
The solution is (-1,4).
What does this actually mean? Well, it means that if we substitute x=-1 and y=4 into both equations in the system of equations, both equalities should hold true. Let's do this!
The solution is correct. In this particular case, you got 4=4 in both equations, however, that does not have to be the case. There could be two or more different solutions, what's important is that all of them are true.