Answer:
Step-by-step explanation:
x=ticket cost in Japan
y=ticket cost in Switzerland
3x+2y=79.93
2x+3y=75.87
2/3(2x+3y=75.87) --> 4/3x+2y=50.58
3x+2y=79.93
-
4/3x+2y=50.58
----------------------------
5/3x=29.35
3/5(5/3x=29.35) --> x = 17.61
plug x back in to find y:
3(17.61)+2y=79.93 --> 52.83+2y=79.93
2y=27.1
1/2(2y=27.1) --> y=13.55
x = 17.61
y=13.55
This means:
In Japan the average cost is $17.61
In Switzerland the average cost is $13.55
In Japan the average cost is $17.61 and in Switzerland the average cost is $13.55.
An equation is a relationship between two or more variables expressed in equal to form. Equation of two variables look like ax + by=c. It is solved to find the value of variables.
let the cost of ticket in Japan be x and the cost of ticket in Switzerland be y.
According to question the equation are as under:
3x+2y=79.93----------------1
2x+3y=75.87 ----------------2
Multiply equation 1 by 2 and equation 2 by 3 and subtract result from equation 2 from result coming from equation 1.
6x+4y=159.86
6x+9y=227.61
Subtracting
6x+4y-6x-9y=159.86-227.61
-5y=-67.75
y=13.55
Put the value of y=13.55 in 3x+2y=79.93
3x+2(13.55)=79.93
3x+27.10=79.93
3x=79.93-27.10
3x=52.83
x=52.83/3
x=17.61
Hence the average cost in Japan is $17.61 and average cost in Switzerland is $13.55.
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