The population y in the year x of the counties listed is approximated by the given​ equations, where x=10 corresponds to 2010 and y is in thousands. Solve this system of​ equations, and interpret the answer.   County​ A: −x+20y = 107 County​ B: −x+10y = 47 County​ C: y = 6 Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.     A. The system has exactly one solution. The solution is (Blank) ​(Type integers or​ fractions.)   B. The system has infinitely many solutions of the form (Blank,y​,) where y is any real number. ​(Type integers or​ fractions.)   C. The system has no solution.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 34E
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The population y in the year x of the counties listed is approximated by the given​ equations, where
x=10 corresponds to 2010 and y is in thousands. Solve this system of​ equations, and interpret the answer.
 
County​ A:
−x+20y
=
107
County​ B:
−x+10y
=
47
County​ C:
y
=
6
Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.
 
 
A.
The system has exactly one solution. The solution is
(Blank)
​(Type integers or​ fractions.)
 
B.
The system has infinitely many solutions of the form
(Blank,y​,)
where y is any real number.
​(Type integers or​ fractions.)
 
C.
The system has no solution.
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