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Mashutka [201]
3 years ago
13

Solve the system by linear combination. Show all your work. 9x+5y=35 -2x-5y=0

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:

(5, - 2 )

Step-by-step explanation:

Given the 2 equations

9x + 5y = 35 → (1)

- 2x - 5y = 0 → (2)

Adding the 2 equations term by term will eliminate the y- term

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations for value of y

Substituting in (1) gives

9(5) + 5y = 35

45 + 5y = 35 ( subtract 45 from both sides )

5y = - 10 ( divide both sides by 5 )

y = - 2

Solution is (5, - 2 )

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The correct option is (B) yes because all the elements of set R are in set A.

<h3>What is an element?</h3>
  • In mathematics, an element (or member) of a set is any of the distinct things that belong to that set.

Given sets:

  1. U = {x | x is a real number}
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So,

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The complete question is given below:
Consider the sets below. U = {x | x is a real number} A = {x | x is an odd integer} R = {x | x = 3, 7, 11, 27} Is R ⊂ A?

(A) yes, because all the elements of set A are in set R

(B) yes, because all the elements of set R are in set A

(C) no because each element in set A is not represented in set R

(D) no, because each element in set R is not represented in set A

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Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

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