Question

To graph the system of linear equations,

1. y = x + 3
2. -4x + 4y = 28

we can rearrange the second equation to solve for y:

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

Now we have the two equations:
1. y = x + 3
2. y = x + 7

When we graph these two lines, we can see that they are parallel lines with the same slope but different y-intercepts. This means that the system of equations has no solution, as the lines will never intersect.

In conclusion, the graph of the system of equations of y = x + 3 and y = x + 7 shows two parallel lines, indicating that there is no solution to the system of equations.
make this like a 8th grader wrote it

Answer 1

[AI-generated answer — Bot GPT 3.5]

To graph these equations, first we get y by itself in the second equation: y = x + 7. Then, we can see that both equations have the same slope but different y-intercepts. This means they are parallel lines that will never cross each other. So, there is no point where they meet. This shows that there is no solution to this problem.