SOLUTION: hi my name is jennifer and im having trouble answering this mathematical question of algebra i would appreciate if you showed me step by step how to do it thank you 2x + 3y = 5

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: hi my name is jennifer and im having trouble answering this mathematical question of algebra i would appreciate if you showed me step by step how to do it thank you 2x + 3y = 5      Log On


   



Question 645591: hi my name is jennifer and im having trouble answering this mathematical question of algebra i would appreciate if you showed me step by step how to do it thank you
2x + 3y = 5
5x +4y = 16 &

4x – y = 14
5x + 2y = 11


Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
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 originally 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
-10x - 8y = - 32
7y = - 7
y = -1 and x = 4 || 2x-3 = 5, 2x = 8, x =4
and...5%2A4+%2B+4%2A-1+=+16
4x – y = 14 |multiplying thru by 2 to eliminate the y variable
5x + 2y = 11
13x = 39
x = 3 and y = -2 || 12-y = 14, y = -2
and...5%2A3+%2B+2%2A-2+=+11