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Math Help - Stuck!!

  1. #1
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    Stuck!!

    (a) Give the value of for which the system of equations


    has an infinite number of solutions.

    (b) With as in your answer to part (a), find a particular solution to this system.
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  2. #2
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    Quote Originally Posted by mr_motivator View Post
    (a) Give the value of for which the system of equations


    has an infinite number of solutions.

    (b) With as in your answer to part (a), find a particular solution to this system.
    The first equation can be written 4x - 10y = 6. Compare this with the second ....
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  3. #3
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    Simultaneous equations

    Hello mr_motivator
    Quote Originally Posted by mr_motivator View Post
    (a) Give the value of for which the system of equations


    has an infinite number of solutions.

    (b) With as in your answer to part (a), find a particular solution to this system.
    If, when you're solving simultaneous equations, there's an infinite number of solutions, then the equations are not independent. In the case of 2 equations in 2 unknowns, this simply means that one equation is a multiple of the other. So here, b = 4, and both sides of the second equation are clearly twice the first.

    When b = 4, any value of x will do to find a corresponding value of y.

    E.g. x = 1, y = -\frac{1}{5}

    Grandad

    PS Beaten to it again!
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