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2 answers:
9514 1404 393
Answer:
3) (0, 0)
4) (-1, 2)
Step-by-step explanation:
I find a graphing calculator provides a quick solution to a system of linear equations.
3) The solution is (x, y) = (0, 0)
4) The solution is (x, y) = (-1, 2)
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In each case, the y-term can be eliminated by multiplying the first equation by 3. For problem 3) the resulting equations must be added. For problem 4), the resulting equations must be subtracted.
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Answer:
(a) Set of rational numbers
(b)
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
Where
a, b, c are of the same set.
In the given options (a) to (d), only
is not close under addition because:
is irrational while
is rational
<em>In other words, they belong to different set</em>
