Solve the following system of linear equations by graphing. Graph on your own piece of paper. In your submitted answer, describe what the graph looks like and what this tells you about the solution to the system of linear equations. y=x+3 −4x+4y=28
summarize
The graph of the system of linear equations consists of two intersecting lines. The first equation, y=x+3, has a positive slope and a y-intercept at (0,3). The second equation, -4x+4y=28, can be rewritten as y=x+7, which also has a positive slope and a y-intercept at (0,7).
The two lines intersect at the point (4,7). This tells us that the solution to the system of linear equations is x=4 and y=7.