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Karolina [17]
3 years ago
14

Solve the simultaneous equations

Mathematics
2 answers:
almond37 [142]3 years ago
8 0

Answer:

x = -1, y = 2

Step-by-step explanation:

2y - 5x = 9

4y + 3x = 5

eliminate one of the variables by multiplying the equations and then adding them together.

3(2y - 5x = 9)

5(4y + 3x = 5)

6y - 15x = 27

20y + 15x = 25

26y = 52

y = 2

now input the value of y into one of the original equations to find x.

8 + 3x = 5

8-5 = 3

x = -1

NeTakaya3 years ago
4 0

Answer:

y = 2, x = -1

Step-by-step explanation:

2y - 5x = 9

2y = 9+5x

y = (9+5x) /2

4y + 3x = 5

4((9+5x) /2) + 3x = 5

13x + 18 = 5

13x = -13

x = -1

y = (9+5x) /2

y = (9+5(-1)) /2

y = 2

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Answer:

hello your question is incomplete below is the complete question

To purchase $14,500 worth of restaurant equipment for his business, Hans made a down payment of $1800 and took out a business loan for the rest. After 2 years of paying monthly payments of $562.88. , he finally paid off the loan. What was the total amount  Dean ended up paying for the equipment ( including the down payment and monthly payments )

answer: $15309.12

Step-by-step explanation:

Initial cost of equipment = $14500

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cost of equipment = 14500 - 1800 = $12700

Monthly payment = $562.88

Therefore payment made after 2 years = ( 562.88 * 24 ) = $13509.12

<u>Total amount paid by Dean for the equipment </u>

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3 0
3 years ago
Isosceles Right Triangle Reflection to prove ASA Congruence
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Answer:

Yes they went through rigid motion

Step-by-step explanation:

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A 15-inch candle is lit and burns at a constant rate of 1.6 inches per hour.
Naily [24]

Answer:

c = 15: The height of candle is 15 inches when it is not lit.

m = -1.6: The height of candle decreases 1.6 inches for every hour it is lit.

Step-by-step explanation:

We are given the following in the question:

Height of candle = 15 inches

f (t) = 15 - 1.6 t

This function gives the length of the candle in inches left after it was burn for t hours.

Comparing the given equation to a linear equation, we have:

y = mx + c

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Comparing we, get

m = -1.6 and c = 15

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c = 15 mean the y-intercept is 15 that is he value of function when t = 0, thus, the height of candle is 15 inches when it is not lit.

m = -1.6 is the rate of change of the function when t increases by 1 unit that is the height of candle decreases 1.6 inches for every hour it is lit.

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True or false FGH is a right triangle
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