A particular movie theater charges $9.00 per adult and $2.50 per child. Suppose 400 people attended a movie and the total revenue from ticket sales was $2300.
Write linear equations for the two constraints, where a represents the number of adults attending the
movie and y represents the number of children attending the movie.

Step-by-step explanation:

Since X and Y represent the total number of adults and total number of children respectively,

total number of people attended the movie

price for the ticket for adult is $9 and x adults are attending movie so total sale for adults is 9x

The price for the ticket for child is $2.50 and y children are attending the movie so total sale for children is 2.50y

which is total 2300.

So

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.