If you multiply your second equation by -1 you get the first equation.
So you have 2 identical equations.
What do you think their graphs would be like?
What does your text or your notes say about that situation?
So you have 2 identical equations.
What do you think their graphs would be like?
What does your text or your notes say about that situation?
1st equation: 7x - 7y = -28
Rearranging, we get: -7y = -7x - 28
Dividing all terms by -7, we get: y = x + 4
2nd equation: 7y - 7x = 28
Rearranging, we get: 7y = 7x + 28
Dividing all terms by 7, we get: y = x + 4
As we can see, both equations have the same slope (m = 1) and the same y-intercept (b = 4).
When we graph these equations on the coordinate plane, we will see that they represent two straight lines that are exactly the same line.
Since the lines coincide and intersect at every point, the system is consistent.
Moreover, since the equations have infinitely many solutions and are not just multiples of each other, the system is independent.