math question?

Question

Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York.  Three adults and four children must pay $111.  Two adults and three children must pay $79.  Find the price of the​ adult's ticket and the price of a​ child's ticket.

? · Answer

3x+4y = 111
2x+3y = 79

x+y = 32 ;#1-#2
2x+2y = 64 ;*2
y = 15 ; #2-#4
x = 17

x = 17 adult
y = 15 child

check
3x+4y = 111
3(17)+4(15) = 51+60 = 111
2x+3y = 79
2(17)+3(15) = 34+45 = 79

math question?

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