[tex]x + y = 14 \\ 340x + 1030y = 8210[/tex]
[tex]x = 14 - y[/tex]
Substitute into
[tex]340(14 - y) + 1030y = 8210 \\ 4760 - 340y + 1030y = 8210 \\ 690y = 3450 \\ y = 5 [/tex]
Insert y = 5 into
[tex]x = 14 - 5 \\ x = 9[/tex]
Answer: 9 coach tickets, 5 first class tickets.
Hope this helps.
