solve the following system of linear equations by graphing graphing 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+4 y=28
To solve this system of linear equations by graphing, we first need to rearrange the second equation to slope-intercept form:
-4x + 4y = 28
4y = 4x + 28
y = x + 7
Now our two equations are:
y = x + 3
y = x + 7
When we compare the two equations, we can see that they have different y-intercepts (3 and 7) but the same slope (1).
Therefore, these two lines are parallel to each other and will never intersect. This means that there is no solution to this system of equations.
When graphing the two equations, you will see two parallel lines that do not cross each other. This tells you that there is no common point that satisfies both equations, indicating that this system does not have a solution.
I recommend graphing the two lines on a piece of graph paper to visualize this and include it in your submitted answer.