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Oduvanchick [21]
3 years ago
8

Leslie and Marvin, both teachers, are adding books to their class libraries. Leslie's classroom started out with a collection of

only 20 books, but she plans to purchase an additional 3 books per week. Marvin's library started out with 40 books, and he has enough money in his budget to purchase another 1 book per week. At some point, the two teachers' libraries will contain the same number of books. How many weeks will that take?
Mathematics
1 answer:
iren2701 [21]3 years ago
6 0

Answer:

10 weeks

Step-by-step explanation:

L = 20 + 3x

M = 40 + x

20 + 3x = 40 + x

3x = 20 + x

2x = 20

x = 10

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</span>⇒ <span>Rewrite the linear equations above as a matrix 
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\left[\begin{array}{ccc}3&5&42\\6&5&54\\\end{array}\right] 

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\left[\begin{array}{ccc}3&5&42\\0&1&6\\\end{array}\right] 

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<span>The steps below are for back substitution. 
</span>
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</span>

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