SOLUTION: The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket      Log On


   

Question 1141953: The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, find the values of x and y.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +5x+%2B+2y+=+48+
(2) +3x+%2B+2y+=+32+
--------------------------
Subtract (2) from (1)
(1) +5x+%2B+2y+=+48+
(2) +-3x+-+2y+=+-32+
---------------------------
+2x+=+16+
+x+=+8+
Plug this result back into either (1) or (2)
(1) +5%2A8+%2B+2y+=+48+
(1) +40+%2B+2y+=+48+
(1) +2y+=+8+
(1) +y+=+4+
----------------------
+x+=+8+
+y+=+4+
-----------------------
check:
(2) +3x+%2B+2y+=+32+
(2) +3%2A8+%2B+2%2A4+=+32+
(2) +24+%2B+8+=+32+
(2) +32+=+32+
OK
You can check (1)