Asked by robbie
can someone help in finding the ordered pair for this equation.
7x-9y=63
9y-7x=-63
7x-9y=63
9y-7x=-63
Answers
Answered by
Henry
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.
-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.
Answered by
MathMate
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<∞
Given:
7X-9Y=63
Let t be any real number equal to X, then
X=t
Y=(7t-63)/9
where -∞<t<∞
Answered by
Henry
So if we multiply the 2nd Eq by -1, we'll notice that the 2 Eqs are exactly identicak.
Thanks!
Thanks!
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