Question

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.

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