system of equations

Question

A student bought 6 pens and 2 notebooks and spent five dollars. Other students bought 3 pens and 4 notebooks for $5.50. What is the cost of a pen?What is the cost of a pencil?

Answer 1

6p +2n = 5

3p +4n = 5.5

6p + 8n = 11

subtract 1st from last equation to get

6n = 6, n=$1 for a notebook

p = 50 cents for a pen