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just olya [345]
3 years ago
5

2x+5y=10 x-3y=-6 how do i get the point of intersection

Mathematics
1 answer:
diamong [38]3 years ago
8 0
Multiple the second equation by 2 and subtract it from the first

2x + 5y = 10
2x - 6y = -12

now subtract

11y = 22
y = 2

Plug y = 2 in to either equation
x - 3(2) =  -6
x - 6 = -6
x = 0

The point at where they intersect is (0, 2)
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1) n(a) = 5


The cardinality of a set is the number of elements in that set. So, you simply need to count how many elements belong to the set, and the answer is 5


2) n(b) = 3


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The union of two set is a set composed by all the elements belonging to either one of the sets, with no repetitions. So, since the first set contains all numbers from 1 to 5, the second set contains a 4, which however already belonged to the first set, but also a 6, which is added in the union. So, a ⋃ c = {1,2,3,4,5,6}, and thus n(a ⋃ c)=6.


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