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 (2 points)

Question

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 (2 points)
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GPT 3.5 · Answer

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.