Admission to a home and garden show cost $7 per person during the week and $9 per person on the weekend. during one week of the show, a total of $142,506 was paid in admission. this situation can be represented by the equation 7x+9y=142,506 where x is the number of tickets sold during the week and y is the number of tickets sold on the weekend.

For b) you already have two possibilities, since you have the intercepts. 
(20358, 0) and (0,15834) are two possible points, although not very likely. 

Solve for y: y= (-7/9)x + 15834 

Any multiple of 9 will give whole number answers. 

Let x= 9 
Then y= (-7/9)(9)+ 15834 
Y= 15827 

If you want more reasonable answers, let x= 9000 
Then y= (-7/9)(9000)+ 15834 
Y= 8834