Question 645591
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Hi,
Re TY, in both of the word problems you referred to in your TY, variables need to be assigned. 
For ex: x and y representing the amount of money Juan and John <u>originally</u> had 
OR x and y representing the number of single and couples tickets in the 2nd Ex. In both cases y can be expressed in terms of x.
Please Post each traditionally if you need further assistance. Thank you.
Please
2x + 3y = 5  |Multiplying 1st EQ by 5, 2nd by -2 and adding to eliminate  x
5x +4y = 16

 10x + 15y = 25  
<u>-10x - 8y =  - 32</u>
      7y = - 7
       y = -1   and x = 4   ||   2x-3 = 5, 2x = 8, x =4
and...{{{5*4 + 4*-1 = 16}}}

4x – y = 14  |multiplying thru by 2 to  eliminate the y variable
<u>5x + 2y = 11</u>
  13x = 39
    x = 3  and y = -2   || 12-y = 14, y = -2 
and...{{{5*3 + 2*-2 = 11}}}