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anonymous
 5 years ago
How many solutions exist for the system, x + y = 1 and y = x + 1?
A. no solution
B. one solution
C. infinitely many solutions
anonymous
 5 years ago
How many solutions exist for the system, x + y = 1 and y = x + 1? A. no solution B. one solution C. infinitely many solutions

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JamesJ
 5 years ago
Best ResponseYou've already chosen the best response.2Notice that the two equations are identical because y = x + 1 <=> y + x = x  x + 1 = 1 Hence you only have one equation x + y =1. How many solutions are there to that equation?

JamesJ
 5 years ago
Best ResponseYou've already chosen the best response.2Well, x =1, y = 0 is one solution x = 2, y = 1 is another solution So is x = 0, y =1 In fact, if you drew the graph of that equation, there would be an infinite number of points on it, reflecting the fact there are an infinite number of answers.

JamesJ
 5 years ago
Best ResponseYou've already chosen the best response.2In general, if you have two variables you need two equations to have a unique solution. With two variables and one equation, there are an infinite number of solutions.
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