Question 966770


Let  x  be the price of one bag of potatoes and  y  be the price of one case of corn.


Then you have the system of two linear equations


{{{system(3x + 4y = 40,
5x + 2y = 34)
}}}.


Use the elimination method to solve this system.  For it,  multiply the second equation by  2  and subtract the first equation.  You will get 


  10x + 4y = 68
-
   3x + 4y = 40

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

   7x        = 68-40 = 28.


So,  x = {{{28/7}}} = 4.


Now, substitute the found value of  x  into the first equation of your system.  You will get 


3*4 + 4y = 40, 


or


4y = 40 - 12 = 28.


Hence,  y = {{{28/4}}} = 7. 


<B>Answer</B>.  &nbsp;The cost of one bag of potatoes is $4 and the cost of one case of corn is $7.