mat/116

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can someone help in finding the ordered pair for this equation.
7x-9y=63
9y-7x=-63

  • mat/116 -

    7X - 9Y = 63
    -7X + 9Y = -63

    m1 = -A/B = -7 / -9 = 7/9.

    m2 = 7/9.

    m1 = m2 = 7/9.
    Threfore, the lines are parallel and
    has no solution. Solve the Eqs and
    you'll get 0 = 0.

  • mat/116 -

    Put it in another way, the lines are coincident and parallel, so they are consistent and we have an infinite number of solutions (at every point where the two lines overlap).

    Given:

    7X-9Y=63

    Let t be any real number equal to X, then

    X=t
    Y=(7t-63)/9

    where -∞<t<∞

  • mat/116 -

    So if we multiply the 2nd Eq by -1, we'll notice that the 2 Eqs are exactly identicak.

    Thanks!

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