Question

Name
Systems of Equations Word Problems - Homework
Date
Score
. Three pens and two notebooks cost $8.25. Two pens and three notebooks cost $8.00.
How much does each item cost? .
Show your work
Write the System
Pen =
Notebook =​

Answer 1

Answer:

pen=2.03

notebook=1.40

Explanation:

3p+2n=8.25

2p+3n=8.00

2p=8.00-3n

divide by 2

p=4.00-1.5n

sub into other original equation

3(4.00-1.5n)+2n=8.25

12.00-4.5n+2n=8.25

-12. -12

‐--------‐--------------------

-2.5n=-3.25

divide by -2.5

n= 1.40

2p+3n=8.25

2p+3(1.40)=8.25

2p+4.20=8.25

-4.20 -4.20

----------------------

2p=4.05

divide by 2

p =2.025