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ratelena [41]
3 years ago
8

What is the answer for6x+15=3(x+3)

Mathematics
2 answers:
andrezito [222]3 years ago
8 0
6x+15=3(x+3)
6x+15=3x+9
6x-3x=9-15
3x =-6
x = -2
alex41 [277]3 years ago
4 0

Answer:

x = ( - 2)

Step-by-step explanation:

6x + 15 = 3(x + 3) \\ 6x + 15 = 3x + 9 \\ 6x - 3x =  - 15 + 9 \\ 3x =  - 6 \\  \frac{3x}{3}  =   \frac{ - 6}{3}  \\ x =  - 2

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Answer:

  • <u>Rule in words:</u>

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  • <u>Rule as an algebraic expresssion:</u>

        y=x/3

Explanation:

This is a direct variation problem.

Since  each package has the same number of cards, the number of cards is proportional to the number of packages.

12 baseball cards in 4 packages means that there are 12/4 = 3 cards per package, so:

  • The number of cards is 3 times the number of packages.

  • The number of packages is the number of cards divided by the number of 3.

So, the <em>rule in words</em> for the number of packages Justin needs to buy x cards is one third of x. This table may help you to visualize it:

Number of packages:   1     2     3      4    5

Number of cards:          3     6     9    12    15

To find the <em>algebraic expression</em> that describes the same rule, you can set the following proportion:

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Where y is the number of packages and x is the number of cards.

And from that you solve for y:

\frac{12}{4} =\frac{x}{y}\\ \\ 12y=4x\\ \\ y=4x/12\\ \\ y=x/3

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