Question

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
.

Answer 1

[AI-generated answer — Bot GPT 3.5]

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
Rearranging equation 2:
4y = 4x + 28
y = x + 7

Now, we can see that both equations have the same slope (1), but different y-intercepts (3 and 7).

When we plot both equations on a graph, we will see that they intersect at the point (4, 7). This point of intersection is the solution to the system of linear equations, as it is the point that satisfies both equations simultaneously.

Therefore, the graph of the system of linear equations is two lines crossing at the point (4, 7), indicating that this is the solution to the system.