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Math Help - Substitution question

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    Substitution question

    When doing substitution to solve a system of equations, how can i tell if it has one solution, no solution, or infinitely many solutions.
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    Quote Originally Posted by campvoorhees23146 View Post
    When doing substitution to solve a system of equations, how can i tell if it has one solution, no solution, or infinitely many solutions.
    Hi campvoorhees23146,

    If the slopes of the two equations are equal, then there is no solution.


    If one equation is a multiple of the other equation, then there are infinitely many solutions.
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    Quote Originally Posted by campvoorhees23146 View Post
    When doing substitution to solve a system of equations, how can i tell if it has one solution, no solution, or infinitely many solutions.
    Poor Man's Definitions:

    1) If you get one, there is one. Example x = 3
    2) If you get nonsense, there is none. Example 3 = 7
    3) If you get "duh", there are many. Example 12 = 12
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    Quote Originally Posted by TKHunny View Post
    Poor Man's Definitions:

    1) If you get one, there is one. Example x = 3
    2) If you get nonsense, there is none. Example 3 = 7
    3) If you get "duh", there are many. Example 12 = 12
    LOL
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