Answer:
A Japanese ticket is 17.34 and a Swiss ticket is 13.79
Step-by-step explanation:
If we use "x" to represent the value of Japanese movie tickets and "y" to represent the value of Swiss movie tickets, we get the following system:
3x + 2y = 79.60 (I'm going to assume that you meant to put a decimal point here)
2x + 3y = 76.05
To solve for the price of Japanese movie tickets first, you should multiply the first system by 3 and the second system by 2. The new systems will look like this:
9x + 6y = 238.80
4x + (6y) = 152.10
Cancel out the y values by subtracting the second equation from the first equation and you are left with:
5x = 86.70
Divide by 5 to solve for "x" and the value of a Japanese movie ticket is $17.34!
Now you can plug in the "x" value into one of the original equations like this:
2(17.34) + 3y = 76.05
34.68 + 3y = 76.05
-34.68 -34.68
3y = 41.37
/3 /3
And a Swiss ticket is $13.79!
To check your answer, plug both values back into an original equation:
2(17.34) + 3(13.79) = 76.05
34.68 + 41.37 = 76.05!!
