SOLUTION: Given the system of equations 2x + 3y = 1 and 14x + 21y = 7, which one of the following statements is true? The system has no solutions. The system has one and only one s

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Question 236171: Given the system of equations 2x + 3y = 1 and 14x + 21y = 7, which one of the following statements is true?
The system has no solutions.
The system has one and only one solution (-1,1).
The system has infinitely many solutions.
The system has one and only one solution (7,7)

Answer by Alan3354(6092) About Me  (Show Source):
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Given the system of equations 2x + 3y = 1 and 14x + 21y = 7, which one of the following statements is true?
The system has no solutions.
The system has one and only one solution (-1,1).
The system has infinitely many solutions.
The system has one and only one solution (7,7)
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The 2nd eqn is 7 times the 1st, so they're dependent.
1 eqn in 2 unknowns is a line, with an infinite number of solutions.
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BTW, (7,7) is not a solution.