To solve this system of equations by graphing, we can rearrange the second equation to solve for y:
−4x + 4y = 28
4y = 4x + 28
y = x + 7
Now we have the system of equations:
y = x + 3
y = x + 7
Graphing both equations on the same coordinate plane, we see that they are parallel lines with the same slope of 1. The y-intercepts are different, with one line intercepting the y-axis at (0, 3) and the other intercepting at (0, 7).
Since the lines are parallel and will never intersect, there is no solution to this system of equations. This can be seen on the graph as the lines run parallel to each other but never intersect. This tells us that the system is inconsistent and the equations do not have a common solution.
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
(2 points)
*whistle*
1 answer