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Math Help - Linear Equations Mystery?

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    Linear Equations Mystery?

    Not all systems of linear equations have a solution. Give an example of a system of linear equations that has no ordered pair satisfying it. Explain your answer.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by mcinnes View Post
    Not all systems of linear equations have a solution. Give an example of a system of linear equations that has no ordered pair satisfying it. Explain your answer.
    Systems of linear equations that graph parallel lines have no solution. They are called inconsistent systems.

    Example:

    x+y=5

    2x+2y=7

    Same slopes. Different y-intercepts. Parallel lines.
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  3. #3
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by mcinnes View Post
    Not all systems of linear equations have a solution. Give an example of a system of linear equations that has no ordered pair satisfying it. Explain your answer.
    Here's my hint:

    We don't have a solution to a linear system of equations if there are two lines that are parallel...

    Can you try to come up with a system of equations now?

    --Chris
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