At the afternoon matinee movie, 3 adult tickets and 5 child tickets cost $44, and 5 adult tickets and 3 child tickets cost $52. Which two equations can be used to determine the price of each ticket? Let x represent the cost of an adult ticket and y represent the cost of a child ticket.

x = $8

y = $4

Step-by-step explanation:

x = cost of an adult ticket

y = cost of child ticket

Firstly, 3 adult tickets and 5 child tickets cost $44

That’s 3x + 5y = 44

Also , 5 adult tickets and 3 child tickets cost $52

That’s 5x + 3y = 52

Now combine both equations.

1. 3x + 5y = 44

2. 5x + 3y = 52

Multiply equation one by 5 and equation two by 3

We have

5 x 3x + 5 x 5y = 5 x 44

3 x 5x + 3 x 3y = 3 x 52

We have

15x + 25y = 220

15x + 9y = 156

Subtract equation 2 from 1

16y = 64

Divide both sides by 16

16y/16 = 64/16

y = 4

Now substitute 4 for y in any of the equations to get x. Using equation one, we have

3x + 5(4) = 44

3x + 20 = 44

Subtract 20 from both sides

3x + 20 - 20 = 44 - 20

3x = 24

Divide both sides by 3

x = 24/3

x = 8

Therefore, adult’s ticket cost $8 while children’s ticket cost $4

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy