Ordered pair - Topic profile

1. 8x-5y= -46 8x 86=y 2. 5m n=39 m-3n=27 3. 3x 4y=27 -8x y=33 4. 7x 6y=-23 -9x y=47

The substitution method involves solving one equation for a variable, then substituting the value into the other equation. I'll do the first as an example.... 8x - 5y= -46 8x + 86=y The second equation is already in the proper form. Substitute (8x + 86) for y in the first equation... 8x - 5(8x + 86) = -46 8x - 40x - 430 = -46 -32x = 384 x = -12 Now, plug this ...

5/(X-Y) is undefined for all pairs (X, Y) such that the first coordinate equals the second coordinate, for example (1, 1), (2, 2)...

Why is it that authors use the term "pair" and "ordered pair" interchangeably and, maybe I'm mistaken, a little imprecisely? For example, in listing the field axioms, the language "for every pair x and y" is usually used. However, surly the author means "for every ordered pair x and y", otherwise, there is no need for the axiom of commutativity (neither for addition nor ...

8x + y = 0 4x - y = 3

Nineteen-year-old rapist sues 15-year-old rape victim for child support. And wins. Is there an ordered pair of genders in which this headline makes any sense? Quote: LANCASTER, Ohio --- A Pickerington couple and their son are fighting for custody of a baby born to a Lancaster woman charged with having unlawful sex with the boy, who was 15 at the time of conception. A paternity ...

The whole point of "ordered pair" is that, unlike the set {a, b}, we distinguish between the two members. Writing (a,b)= {{a},{a,b}} just means that there are two members, a and b, and we distinguish between the two. Hurkyl's point about "the set {a, {a, b}} doesn't always have two elements" is that the "pair" (a,b) corresponds to the set {{a},{a,a}}. But since {a, a} is a set where we don't ...

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