Question 1150640
x = number of student tickets sold at 4 dollars each.
y = number of non-student tickets sold at 6 dollars each.


equations are:


x + y = 916
4x + 6yh = 4538


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


4x + 4y = 3664
4x + 6y = 4538


subtract the first equation from the second equation to get:


2y = 874


solve for y to get:


y = 437


since x + y = 916, then x = 479


the result is:


x + y = 479 + 437 = 916, confirming the value of x and y are solutions for the first equation.


4x + 6y = 4*479 + 6*437 = 4538, confirming the value of x and y are solutions for the second equation.


your solution is that 479 student tickets were sold.