Question 1104845
x = number of reserve tickets that cost 4 dollars each.
y = number of general admission tickets that cost 3 dollars each.


1787 tickets were sold.
total receipts were 5792.


your equations are:


x + y = 1787
4x + 3y = 5792.


first equation models total number of tickets sold.
second equation models total amount of money received.


multiply the first equation by 4 and leave the second equation as is to get:


4x+ 4y = 7148
4x + 3y = 5792


subtract the second equation from the first to get:


y = 1356.


go back to the first original equation and solve for x to get x = 431.


go back to the second original equation and replace x with 431 and y with 1356 to get:


4*431 + 3*1356 = 5792


this confirms the solution is good.


431 + 1356 = 1787 which is what it's supposed to be.
4*431 +3*1356 = 5792 which is what it's supposed to be.