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.

Question

y=x+3
−4x+4y=28

Answer 1

To graph the system of linear equations, we first need to rewrite the equations in slope-intercept form:

1) y = x + 3
2) -4x + 4y = 28
4y = 4x + 28
y = x + 7

Now we can graph these two lines on a piece of paper. The graph will show two lines intersecting each other at a single point.

Interpreting the graph, we see that the two lines intersect at the point (4, 7). This point represents the solution to the system of linear equations. Therefore, the solution to the system of linear equations is x = 4 and y = 7.