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

1 answer

To graph these equations, first convert the second equation into slope-intercept form: y = x + 7.

Now we have the two equations:
y = x + 3
y = x + 7

When we graph these two lines, we see that they are parallel lines with the same slope but different y-intercepts. This means that they will never intersect and there is no solution to the system of equations.

Therefore, the system of equations is inconsistent and has no solution.