You buy six tickets to a concert. The ticket agent charges you with a $5 fee. The total before taxes is $92. How much does each ticket cost?

let x = the larger number

let y = the smaller

;

write a equation for each statement

:

1. The sum of two numbers is 87.

x + y = 87

The larger number subtracted from twice the smaller is 18.

2y - x = 18

Rearrange equation for elimination with the first equation

-x + 2y = 18

x + y = 87

addition eliminates x find y

0 + 3y = 105

y = 105/3

y = 35

then

x + 35 = 87

x = 87 - 35

x = 52

Step-by-step explanation:

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step-by-step explanation: