The sophomore class sold a total of 700 adult and student tickets to the school play. Adult tickets sold for $4.50 each, and student tickets cost $2.00 each. If they took in a total of $1,200, which system of equations can be used to find x, the number of student tickets sold, and y, the number of adult tickets sold?

Question

(1 point)
Responses

equation
Image with alt text: equation

equation
Image with alt text: equation

equation
Image with alt text: equation

equation

Answer 1

Let x be the number of student tickets sold and y be the number of adult tickets sold.

From the given information, we can create the following system of equations:
1) x + y = 700 (total number of tickets sold)
2) 2x + 4.50y = 1200 (total revenue from ticket sales)

Therefore, the correct system of equations is:
x + y = 700
2x + 4.50y = 1200

Answer 2

How many solutions does the following system have?

{2x+3y=1}
{-3x-2y=-1}
(1 point)
Responses

infinitely many solutions
infinitely many solutions

two solutions
two solutions

one solution
one solution

no solutions

Answer 3

This system of equations has one solution.

Answer 4

Which linear system of equations does the matrix represent?

[-3 5 | 15]
[ 2 3 |-10]

Answer 5

The linear system of equations that the matrix represents is:

-3x + 5y = 15
2x + 3y = -10