anonymous
  • anonymous
How many solutions exist for the system, x + y = 1 and y = -x + 1? A. no solution B. one solution C. infinitely many solutions
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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JamesJ
  • JamesJ
Notice 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?
anonymous
  • anonymous
1?
JamesJ
  • JamesJ
Well, 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.

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anonymous
  • anonymous
ok thanks :)
JamesJ
  • JamesJ
In 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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