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ladessa [460]
3 years ago
15

Y = 4x-9 y = x-3 Which method and why? Solve, shoving all work

Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

(2,-1)

Step-by-step explanation:

The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.

4x - 9 = x - 3                      Subtract x from both sides.

4x-x - 9 = -3                       Combine

3x -9 = - 3                          Add 9 to both sides

3x - 9+9 = - 3+9

3x = 6                                Divide by 3

3x/3 = 6/3

x = 2

===============

Now use the second equation to solve for y

y = x - 3

y = 2 - 3

y = -1

==============

The solution is (2,-1)

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Serhud [2]
As a disclaimer, I can't say I'm completely confident in this answer. Use at own risk.

Formulas:

Year 1: 328,000 (sales) - 117,000 (expense) = 211,000 (profit)

Year 2: 565,000 (sales) - x (expense) = y (profit)

Net Profit: 211,000 + y = 113,000

Math

211,000 (profit y1) + 565,000 (sales y2) = 776,000

776,000 - 113,000 (net profit) = -663,000 (expenses)

Confirm:

Net Profit: 211,000 + y = 113,000 (listed in formulas, just a reminder)

Plug in: 565,000 (y2 sales) - 663,000 (our solution) = -98,000

211,000 (y1 net) + -98,000 (our plug in) = 113,000 (2 year net profit given to us)
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Step-by-step explanation:

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Given: line segment AB // to line segment CD, ∠B ≅∠D and line segment BF ≅ to line segment ED. Prove: Δ ABF ≅ Δ CED.

Follow the matching numbers on the statement versus reason chart.

Statement:

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3. line segment BF ≅ to line segment ED.

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5. Δ ABF ≅ Δ CED

 

Reason:

1. Given

2. Given

3. Given

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Answer:

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