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. Write a 3-5 sentence paragraph

Answer 1

The first equation, y=x+3, is a diagonal line with a slope of 1 passing through the point (0,3). The second equation, -4x+4y=28, can be simplified to y=x+7, which is also a diagonal line with a slope of 1 passing through (0,7). The two lines intersect at the point (4,7), indicating that this is the solution to the system of linear equations. This means that x=4 and y=7 satisfies both equations simultaneously.