SOLUTION: t would cost 78.85 to buy three tickets in japan plus two tickets in switzerland. three tickets in switzerland plus two tickets in japan would cost 74.80. how much does an average

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: t would cost 78.85 to buy three tickets in japan plus two tickets in switzerland. three tickets in switzerland plus two tickets in japan would cost 74.80. how much does an average       Log On


   

Question 568695: t would cost 78.85 to buy three tickets in japan plus two tickets in switzerland. three tickets in switzerland plus two tickets in japan would cost 74.80. how much does an average movie ticket cost in each of these countries
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Japan x
Switzerland y

3 x + 2 y = 78.85 .............1
2 x + 3 y = 74.8 .............2
Eliminate y
multiply (1)by -3
Multiply (2) by 2
-9 x -6 y = -236.55
4 x 6 y = 149.6
Add the two equations
-5 x = -86.95
/ -5
x = 17
plug value of x in (1)
3 x + 2 y = 78.85
52.17 + 2 y = 78.85
2 y = 78.85 -52.17
2 y = 26.68
y = 13
Japan 17.39/ticket
Switzerland 13.34/ticket
m.ananth@hotmail.ca