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andrey2020 [161]
3 years ago
11

Solve set of each equation 2|3x-2|= 14

Mathematics
1 answer:
avanturin [10]3 years ago
6 0
<h3>Solution:</h3>

2(3x - 2) = 14 \\  =  > 6x - 4 = 14 \\  =  > 6x = 14 + 4 \\  =  > 6x = 18 \\  =  > x =  \frac{18}{6}  \\  =  > x = 3

<h3>Answer:</h3>

The answer is 3.

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Given

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Let the length of the other side of the rectangle be represented with y.

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Perimeter, P = 2(L + B)

Where P is the perimeter; L and B are the length and width of the sides of the rectangle.

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P = 2(x + y)

By substituting 34 for P

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Multiply both sides by ½

½ * 34 = ½ * 2(x + y)

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Make y the subject of formula

y = 17 - x

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Hence, the area of the rectangle is as follows.

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Substitute 72 for Area and 17 - x for y

72 = x(17 - x) --- Open bracket

72 = 17x - x² ---- Reorder

x² - 17x + 72 = 0

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x² - 8x - 9x + 72 = 0

x(x - 8) - 9(x - 8) = 0

(x - 8)(x - 9) = 0

x - 8 = 0 or x - 9 = 0

x = 8 or x = 9

Recall that

y = 17 - x.

When x = 8

y = 17 - 8

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When x = 9

y = 17 - 9

y = 8

Writing out the result, we have

x = 8 , y = 9

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x = 9, y = 8

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3 years ago
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Answer:

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