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
what is the solution?
First, let's rewrite the second equation in slope-intercept form:
4y = 4x + 28
y = x + 7
Now, we can graph the equations:
Equation 1 (y = x + 3) has a y-intercept at 3 and a slope of 1.
Equation 2 (y = x + 7) has a y-intercept at 7 and a slope of 1.
When we graph the two lines, we see that they are parallel to each other and do not intersect. This means that there is no solution to the system of linear equations. The two lines are parallel because they have the same slope but different y-intercepts.
Therefore, the system of linear equations is inconsistent and has no solution.