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### 4 Answers

- JohnathanLv 72 years agoFavorite Answer
Remy is correct.

It's not enough to have a system of (linear) equations have the same number of equations as unknowns in order to produce at least one solution, because that leaves the possibility open for parallel lines. This happens if two lines share the same slope, but differ in y-intercepts, resulting in no solution. This is why Florence isn't totally correct and Remy is, because if you divide everywhere by 6 in both equations, you end up with slopes of 1/9 and 1/12, which aren't the same nor are they negative reciprocals. The slopes are the determining factor -- as for this case, there would be EXACTLY ONE solution (which happens to be the shared y-intercept).

- DavidLv 72 years ago
Remy is correct because both equations have different slopes but the same y intercept

- Randy PLv 72 years ago
If you're not going to expend any effort doing your own homework, at least expend some effort to make your question readable.