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yaroslaw [1]
3 years ago
15

What is the solution to the system of equations?

Mathematics
2 answers:
Shalnov [3]3 years ago
6 0

Answer:

(-2 , 3)

Step-by-step explanation:

Let the linear system of equations be represented by the linear equations:

y = mx + c

where m = gradient

            c = y-intercept

from the graph, the intersection of the lines represents the solution of the equation.

In this case, the point of inter section takes place at (-2 , 3)

solving the linear equations gives x = -2 and y = 3 which gives the same answer.

alekssr [168]3 years ago
3 0
The answer to this solution is (-2,3) because it’s where the points meed
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Step-by-step explanation:

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Radius of a sphere that has a surface area 12.56in2 use 3.14
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3 years ago
Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
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b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

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A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

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Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

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(A ∪ B)' = A' ∩ B'

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A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

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