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This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert.

x + 2y = 82
3x + y = 96

By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?

A.
$6
B.
$8
C.
$10
D.
$12
E.
$14

Sagot :

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Answer:

$12

Step-by-step explanation:

x+2y=82........(1)

3x+y=96.........(2)

y=96-3x...........(3)

x+2y=82

x+2(96-3x)=82

x+192-6x=82

-5x=82-192

-5x=-110

x=-110÷-5

x=22

y=96-3x

y=96-3(22)

y=96-66

y=30

Therefore,x=22 and Y=30

so silver= x =22

gold= y = 30

y=30;x=22

=30-22

-12

Therefore $12

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