Question
Asked Sep 17, 2019
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sarah went to secondhand store and bought 2lps and 4 books for $109.94 . Adam bought 3 LPs and 2 books for $84.95 . if all LPs are the same price, and all books are the same price, how much is a single LP and how much is a single book? 

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Expert Answer

Step 1

Let’s price of one lps and one book be $x and $y respectively and total price of 2 Lps and 4 books bought by Sarah is $109.94 and price of 3 lps and 2 books bought by Adam is $84.95.then

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2x4y109.94... (1) 3x 2y 84.95...(2)

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Step 2

This system of equations can be solved by using matrix equation AX=B

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[109.94 2 4x 3 2y 84.95

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Step 3

Convert the augmented matrix [A I] to [I C] where C=A-1 after that...

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2 41 3 20 1

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Tagged in

Math

Algebra

Equations and In-equations