SOLUTION: Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland. Three

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland. Three       Log On


   

Question 433352: Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japn would cost $74.79. How much does an average movie ticket cost in each of these countries?
In Japan the average cost is?
In Switzerland the average cost is?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the cost of tickets in Japan, y for Switzerland:
3x+2y=79.31
2x+3y=74.79
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++3%5Cx+%2B+2%5Cy+=+79.31%2C%0D%0A++++2%5Cx+%2B+3%5Cy+=+74.79+%29%0D%0A++We'll use substitution. After moving 2*y to the right, we get:
3%2Ax+=+79.31+-+2%2Ay, or x+=+79.31%2F3+-+2%2Ay%2F3. Substitute that
into another equation:
2%2A%2879.31%2F3+-+2%2Ay%2F3%29+%2B+3%5Cy+=+74.79 and simplify: So, we know that y=13.15. Since x+=+79.31%2F3+-+2%2Ay%2F3, x=17.67.

Answer: system%28+x=17.67%2C+y=13.15+%29.