SOLUTION: Good Morning Algebra.com, I have a question for you again and would appreciate your help Post a fifty word response to the following o How do you know when an equation has

Question 305382: Good Morning Algebra.com,
I have a question for you again and would appreciate your help
Post a fifty word response to the following

o How do you know when an equation has infinitely many solutions?
o How do you know when an equation has no solution?
Again Thank you for you help!
The needy one :)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If the number of variables is more than the number of equations, there are an infinite number of solutions.
x = 6 has one solution.
x+y = 6 has an infinite number of solutions.
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You asked about "an equation", I think you meant a system of equations.
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x + y = 2
x - 2y = 10 has one solution.
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x + y = 2
2x + 2y = 4 has an infinite number, the 2nd eqn is 2x the 1st --> dependent.
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x + y = 2
x + y = 3 has no solution --> inconsistent.
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x + y + z = 3
x + y - z = 1 has an infinite number, only 2 eqns with 3 variables.
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