Answer:
1. The equations is inconsistent and has no solution
2. The equations is consistent and has no solution
3. A pen costs $1.50 and a notebook costs $2.00
Step-by-step explanation:
Solving
and 
--- Equation 1
--- Equation 2
Add 7x to both sides in equation 2

--- Equation 3
Subtract equation 3 from 1




The equations is inconsistent and has no solution
Solving
and 
-- Equation 1
---- Equation 2
Make y the subject of formula in equation 1

Substitute 4 - 3x for y in equation 2


Collect Like Terms


The equations is consistent and has no solution
3. Solving <em>John and Harry</em>
Given;
<em>Represent Pen with P and Notes with N</em>
John: 
Harry: 
Required
Find P and N
Make P the subject of formula in equation 2


Substitute
in equation 1


Open the bracket

Take LCM


Multiply both sides by 4


Subtract 48 from both sides



Divide both sides by 17



Substitute 2 for N in 




<em>Hence, a pen costs $1.50 and a notebook costs $2.00</em>