Posted by robbie on Saturday, January 29, 2011 at 9:15pm.
can someone help in finding the ordered pair for this equation.
7x9y=63
9y7x=63

mat/116  Henry, Saturday, January 29, 2011 at 9:30pm
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  MathMate, Saturday, January 29, 2011 at 10:02pm
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:
7X9Y=63
Let t be any real number equal to X, then
X=t
Y=(7t63)/9
where ∞<t<∞

mat/116  Henry, Monday, January 31, 2011 at 12:30pm
So if we multiply the 2nd Eq by 1, we'll notice that the 2 Eqs are exactly identicak.
Thanks!
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