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Does every pair of linear simultaneous equations have a unique solution? - Answers

So, take the case of two parallel lines, there is no solution at all. Now look at two equations that represent the same line, they have an infinite number of solutions. The solution is unique if and only if there is a single point of intersection. That point is the solution.



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Does every pair of linear simultaneous equations have a unique solution? - Answers

https://math.answers.com/math-and-arithmetic/Does_every_pair_of_linear_simultaneous_equations_have_a_unique_solution

So, take the case of two parallel lines, there is no solution at all. Now look at two equations that represent the same line, they have an infinite number of solutions. The solution is unique if and only if there is a single point of intersection. That point is the solution.



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https://math.answers.com/math-and-arithmetic/Does_every_pair_of_linear_simultaneous_equations_have_a_unique_solution

Does every pair of linear simultaneous equations have a unique solution? - Answers

So, take the case of two parallel lines, there is no solution at all. Now look at two equations that represent the same line, they have an infinite number of solutions. The solution is unique if and only if there is a single point of intersection. That point is the solution.

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      So, take the case of two parallel lines, there is no solution at all. Now look at two equations that represent the same line, they have an infinite number of solutions. The solution is unique if and only if there is a single point of intersection. That point is the solution.

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