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Give an ordered pair (u,v) of numbers that satisfy the equation

2u-v=7

2007-05-17 09:53:34 · 4 answers · asked by aklepard 1 in Science & Mathematics Mathematics

4 answers

u=4 and v = 1 will satisfy the equation, therefore (4,1) is an ordered pair that satisfies the equation.
2*4 - 1 = 7

An "ordered pair" is simply a set of 2 numbers that are arranged in a predetermined order. In this case, any two numbers that you put inside a bracket will be interpreted as:
the first number is u, the second number is v,
always in that "order".

(3,6) is an ordered pair, where u=3 and v=6. Of course, this particular pair does NOT satisfy the equation.

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The next step is to realise that you can rewrite the equation:

2u - 7 = v

Therefore, any solution of the form (u, 2u-7) will satisfy the equation. So now, you have an ordered pair where one number depends on the other (you only need to choose a value for u, the other value follows automatically).

for example: (u,v) =
(0, -7)
(1, -5)
(2, -3)
(3, -1)
(4, 1)
(5, 3)
(6, 5)
etc.

u can be negative, as in
(-10, -27)

u can be a fraction:
(17.82, 28.64)

and so on.

2007-05-17 10:01:04 · answer #1 · answered by Raymond 7 · 0 0

To do this substitute zero in for one of the numbers
2*0 -v =7
-v = 7
- (-7) = 7 ordered pair (0, -7)
can do it the other way also
2*u - 0 = 7
2*u=7
2*u/2 = 7/2
second pair is ( 7/2, 0)

2007-05-17 10:01:45 · answer #2 · answered by eryana_nosowforu 2 · 0 0

in truth in a non-ordered pair it is not proper what order the climate are considered in. case in point, with letters, (a, b) and (b, a) are 2 distinctive ordered pairs, yet they are an identical unordered pair (as a results of fact order does not count). you will be able to make 26*25 = 650 ordered pairs out of letters; for all the 26 letters you may %. first, there are 25 opportunities for the 2d selection. yet considering that this technique of choosing gets you (g, y) and (y, g) case in point as separate ordered pairs, the genuine form of UNordered pairs is 26*25/2 = 325. EDITED to characteristic: specific, you may desire to upload 26 for the unordered pairs of the style (x, x). New entire: 351

2016-12-11 12:27:48 · answer #3 · answered by lunger 4 · 0 0

easy... 2(7)-7=7 or you could even try 2(9)-11=7
ex. 1.) 2x7=14-7=7
2.) 2x9=18-11=7
I think that is what you need
I just got done with ordered pairs in math class just a few weeks ago. add one more and you can plot them on a graph.

2007-05-17 10:07:51 · answer #4 · answered by Nan 2 · 0 0

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