No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.
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No, the direction in which toilets flush is determined by the design of the toilet and the direction of the water jets, not by the location of the Continental Divide. The Coriolis effect, which influences the direction of large-scale weather systems, is too weak to affect the direction of water in a small, confined space like a toilet bowl. The idea that toilets flush in different directions based on hemispheres is a common misconception.
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No. Every raw, natural diamond is chemically different from every other diamond, because Mother Nature's crafting systems are not standardized. Every diamond gemstone is valued by its cut, clarity and colour in addition to its carat weight. For example, today on Blue Nile you can purchase a 1.02 carat diamond, round brilliant, I colour, SI2 clarity and pay US$3,499. As well, you can purchase a diamond of exactly the same carat weight, marquis cut, D colour, Flawless clarity, and pay US$17,129.
The reason there is 180 days in a school year is because the school systems are dumb asses (: thank you for your time. Have a GREAT DAY (:
It's not supposed to, but that hasn't stopped teachers from teaching that it can be negative. Generally, we don't like to start equations with a negative number. That's why we say A, B, and C must be integers with A and B both not equal to zero, and A greater than or equal to zero. I've also seen Ax+By+C=0, but I disagree with that as well. The point is to solve systems and graph them easily, and having it set as Ax+By=C is probably a little better. There's no set rule. It's sort of like defining a trapezoid. Does it have to have exactly one pair of parallel lines, or can it have two pairs of parallel lines? Both of these definition are controversial. To answer your question, it's up to you. Beware, some college professors hate seeing A negative. No one will disagree with you if A is positive. It's always better to write A positive.