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December 20, 2014

December 20, 2014

Posted by **robbie** on Saturday, January 29, 2011 at 9:15pm.

7x-9y=63

9y-7x=-63

- mat/116 -
**Henry**, Saturday, January 29, 2011 at 9:30pm7X - 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 -
**MathMate**, Saturday, January 29, 2011 at 10:02pmPut 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 -
**Henry**, Monday, January 31, 2011 at 12:30pmSo if we multiply the 2nd Eq by -1, we'll notice that the 2 Eqs are exactly identicak.

Thanks!

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