In many countrie, cigarette moking ha decreaed in the 21" century. The percentage of moker in Ruia can be
repreented by the equation 36. * 100 y = 346, and the percentage of moker in Poland i repreented by the
year ince 20000
equation 18 r 50 y = 176. The equation ue y for the percentage of adult who moke and * for the number of year ince 2000,
Determine the olution to the ytem and how your work



Answer :

Based on the provide system of linear equations, the solution is that there is no solution.

A system of linear equations refers to a collection of one or more linear equations involving the same variables. The solution to a system of linear equations refer to the point at which the lines representing the linear equations intersect. If the lines are parallel, they will never intersect hence, the system has no solution.

According to the provided information, the percentage of smokers in Russia is given by the equation 36x+100y=346 and the percentage of smokers in Poland is given by the equation 18x+50y=176. In order to determine the solution of the system of linear equations, multiply the Poland equation by 2 and subtract it from the Russian equation. Hence,

2*(18x+50y=176)

36x + 100y = 352

-(36x+100y=346)

0 = 6

It means the original equations are parallel. As both the variables are eliminated, the system has no solution.

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