Question

Two adults and one child go to a movie and pay $26. One adult and 3 children pay

$28. How much would it cost for one adult and one child to see the movie?

Answer 1

adults pay $10

children pay $6

Explanation:

x = adult

y = child

2x + y = 26

x + 3y = 28

you want to cancel out x or y

multiply -2 with (x + 3y = 28) which is -2x -6y = -56

2x + y = 26

-2x -6y = -56

-5y = -30

y = 6

put y back into an equation

2x + y = 26 is

2x + 6 = 26

x = 10

check the answer

Two adults and one child go to a movie and pay $26

20 + 6 = 26 : checks

One adult and 3 children pay $28

10 + 18 = 28 : checks