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. Please make it simple and intended for 8th grade.

Question

y=x+3
−4x+4y=28

Answer 1

To solve this system of linear equations by graphing, start by rearranging the second equation to solve for y:

-4x + 4y = 28
4y = 4x + 28
y = x + 7

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

When you graph these two lines, you will see that they are parallel lines. This means they do not intersect, so there is no solution to the system of equations. The lines lie side by side and never touch, indicating that there are no values of x and y that satisfy both equations simultaneously.