To solve the system of linear equations y=x+3 and -4x+4y=28, we first need to rearrange the second equation to be in slope-intercept form.
-4x + 4y = 28
4y = 4x + 28
y = x + 7
Now we can graph both equations on the same graph. The first equation y=x+3 has a y-intercept of 3 and a slope of 1. The second equation y=x+7 has a y-intercept of 7 and a slope of 1.
When you graph these two equations, you will see that the lines are parallel and do not intersect. This means that there is no solution to the system of equations. This is because the lines have the same slope but different y-intercepts, indicating that they are parallel and will never intersect.
Therefore, the system of linear equations is inconsistent and has no 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. Give me a answer nobody else got
3 answers
In one sentence
The graph of the system of linear equations y=x+3 and -4x+4y=28 shows two parallel lines, indicating that the system has no solution.