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Olenka [21]
3 years ago
5

equation for the sum of three consecutive even integers is 48 less than twice the smallest of the three integers

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0
2x - the first and the smallest even integer
2x+2 - the second even integer
2x+4 - the third even integer

2x+2x+2+2x+4=2 \cdot 2 x-48 \\
6x+6=4x-48 \\
2x=-54 \\ \\
2x=-54 \\
2x+2=-54+2=-52 \\
2x+4=-54+4=-50

These three consecutive even integers are -54, -52 and -50.
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The equation which relates the height of the flower pot based on the <em>number of pots</em> is 4a + 16

<u>Creating a system of linear equations based on the information given</u> :

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4a + b = 32 - - - - - (1)

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From (2)

2a + b = 24

Make b the subject ;

b = 24 - 2a - - - - (3)

Put b = 24 - 2a in (1)

4a + 24 - 2a = 32

4a - 2a + 24 = 32

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a = 8/2

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b = 24 - 2(4)

b = 24 - 8

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The equation which relates the height of a flower pot is 4a + 16

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Answer:

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