Ty has 37 cards and buys 4 more each week (w).
Eligh has 42 cards and buys 3 more each week (w).
If they collect cards for w weeks, then
Ty will have collected 4w (in w weeks)
Eligh will have collected 3w (in w weeks)
We add the initial amount in stock that they had, so the expressions would be:
Number of Cards Ty has in w weeks = 37 + 4w
Number of Cards Eligh has in w weeks = 42 + 3w