Question 74507
Here is the solution to the question that you have posted. 

Given that 2 i - pods and 3 movie downloads equals $31  

           2 i - pods and 2 movie downloads equals $29 


Let the number of i - pods be represented by  "x" and the movie downloads be represented by  "y"  

Forming the linear equation, with the given data we get: 

2x  +  3y  =  $31 
2x  +  2y  =  $29      [subtracting we get]
-----------------  
0x  +  1y  =  $2 

Hence, y = $2 

That is the cost of one movie download is $2 

Now substituting this in any one of the linear equations, we get: 

2x + 3(2) = $31 

==> 2x + 6 =  $31 

==> 2x = 31 - 6 

==> 2x = 25 

==> x = {{{25/2}}} 

==> x = $ 12.5 

Hence, the cost of one i - pod is $12.5


Hence, the cost of one i - pod and one movie download is: 

x = $ 12.5 and y = $2 


Hence, the solution.. :))