I've come across some books that are really detailed and go through how they solve something and I prefer. I hate books that just give you an answer without any meaning behind it and expect you to figure out for yourself if you don't have a clue what some symbols might even mean or why nothing is actually showing up on the internet because they have written it down differently.
Anyway, I got passed that and onto the next set of exercises which is about finding the slope, y-intercept for each equation and the number of solutions. Well, I thought that a system of equations had to consist of more than one equation, if they don't, then I am completely lost because not even my previous books showed a system of equations with just one equation...
Anyway, the equation is:
x + y = 7
So the slope would be -1. The y-intercept would be: y = -x + 7.
Earlier in the book it tells you that to find out how many solutions a system of equations has by checking to see if the slopes of both equations are the same. If they are NOT the same, it has one solution, if it does, you then need to find the y-intercept and check to see if b1 and b2 are the same. b1 in this question would be 7.
So I have m1 = -1, and b1 = 7. The answer gives me that, but with m2 = 1/3 and b2 = 2/3, with only one solution.
I know you mentioned that I should focus on the theory and I guess understanding how it works, but I just wish someone could shed some light on this one so I can move on. If all of the exercises are like this, where they are giving me false answers or not explaining how they got the answer, I just don't see the point in the exercises...