Reserved seat tickets for the football game costs $4.00 each and general admission tickets cost $3.00 each. after the game is over, the turnstile count shows 1787 people attended the game. the total receipts were $5792. find the number of each kind of ticket sold

431 reserved tickets, 1356 general tickets

Step-by-step explanation:

4x + 3y = 5792

x + y = 1787

Start with these equations and guess numbers and eventually you'll be right

1000x + 787y =6361 WRONG

700x + 1087y = 6061 WRONG

500 x + 1287y = 5861, close but WRONG

430 x + 1357 y = 5791, very close but WRONG

431 x + 1356y = $5792, CORRECT

431 + 1356 = 1787 tickets sold

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.