solve the following system of linear equations by graphing. 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
To graph the system of linear equations, we will first rewrite the second equation in slope-intercept form:
-4x + 4y = 28
4y = 4x + 28
y = x + 7
Now we have the two equations:
y = x + 3
y = x + 7
When we plot these two lines on a graph, we can see that they are parallel lines with different y-intercepts. This means that the system of equations has no solution, as the two lines never intersect. The graph looks like two distinct lines that are parallel to each other.
Therefore, the system of equations has no solution.