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tensa zangetsu [6.8K]
2 years ago
7

4x- 2y = 8 2x + y =2

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
5 0

Answer:

x = 3/2 , y = -1

Step-by-step explanation:

I'm assuming that you are being asked to solve the system of equations for x and y.

given:

4x- 2y = 8  ---------------(1)

2x + y =2 -----------------(2)

We can solve this by elimination:

multiple (2) by 2, we get:

2(2x + y) =2(2)

4x + 2y = 4 ------------(3)

(1) + (3) , we get:

(4x- 2y) - (4x + 2y) = 8 + 4

8x = 12   (divide both sides by 8)

x = 12/8

x = 3/2   answer, substitute this into (2)  

2(3/2) + y =2

3 + y = 2  (subtract 3 from both sides)

y = 2 - 3

y = -1  answer

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Answer:

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Step-by-step explanation:

According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:

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h(t) = 24 - 12\cdot t

The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

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