Solve the following system of linear equations by graphing on your own piece of paper in your submitted answer describe what the graph looks like and what it tells you about the solution to the system of linear equations
Y=x+3
-4x+4y=28
To solve the system of linear equations by graphing, we first need to 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 graph these two lines on a coordinate plane, we see that they are parallel lines with different y-intercepts. This means that there is no point of intersection, and the system of equations has no solution. The graph confirms that the two lines are parallel and will never cross each other.
Therefore, the system of linear equations is inconsistent and has no solution.