Ella buys a book and a pen for $14. The cost of the book is $2 more than twice the cost of the pen. Write a system of linear equations for the situation. Then find the cost of each item. Let x represent the cost of the pen, and let y represent the cost of the book.

Question

Mathematics

Raymond Carey

12 September, 15:35

Ella buys a book and a pen for $14. The cost of the book is $2 more than twice the cost of the pen. Write a system of linear equations for the situation. Then find the cost of each item. Let x represent the cost of the pen, and let y represent the cost of the book.

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Shyann Lucero · Answer 1

Cost of Book (y) = $10

Cost of Pen (x) = $4

We know that:

y+x=14

&

y=2x+2 (twice the cost add 2)

So therefore:

2x+2+x=14

3x=14-2

3x=12

x=4

When subbed back in to find 'y':

y=2 (4) + 2

y=10

x=4

y=10