To solve this system of equations by graphing, we need to first rewrite the second equation in slope-intercept form.
Starting with the second equation:
-4x + 4y = 28
4y = 4x + 28
y = x + 7
Now we have the two equations:
y = x + 3
y = x + 7
The graph will consist of two lines with a positive slope, one with a y-intercept of 3 and the other with a y-intercept of 7.
Upon graphing the two equations, we will see that the two lines are parallel and do not intersect. This means that there is no solution to the system of equations. This makes sense, as parallel lines have the same slope and will never intersect, meaning there is no point where both equations are true simultaneously.
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 answer pls
3 answers
what soultion is it inf none or just one or two
In this case, the solution to the system of equations is none. This is because the two lines are parallel and will never intersect, meaning there is no point where both equations are simultaneously true. This is reflected by the graph where the two lines do not cross.