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otez555 [7]
2 years ago
6

Solve system of equations for x + y: 3x + 2y = -18 & 2x + 9y =-12

Mathematics
1 answer:
blondinia [14]2 years ago
3 0

Answer:

(- 6, 0 )

Step-by-step explanation:

Given the 2 equations

3x + 2y = - 18 → (1)

2x + 9y = - 12 → (2)

Multiplying (1) by 2 and (2) by - 3 and adding will eliminate the term in x, that is

6x + 4y = - 36 → (3)

- 6x - 27y = 36 → (4)

Add (3) and (4) term by term to eliminate x

- 23y = 0

y = 0

Substitute y = 0 into either of the 2 equations and evaluate for x

Substituting into (1)

3x + 0 = - 18

3x = - 18 ( divide both sides by 3 )

x = - 6

Solution is (- 6, 0 )

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Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.

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The number of possible permutations of x elements from a set of n elements is given by:

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