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OpenStudy (anonymous):
Which is the correct classification of the system of equations below? 12x-3y=9 y-4x=-3 A)parallel B)coincident C)intersecting
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OpenStudy (zzr0ck3r):
can you solve the system?
OpenStudy (zzr0ck3r):
you either get 1, none, or infinite solutions
OpenStudy (zzr0ck3r):
1 implies intersecting, infinite implies they are the same, 0 implies they have the same slope but never touch
OpenStudy (anonymous):
So is it coincident?
OpenStudy (anonymous):
the second equation is \(-4x +y = -3 \Longleftrightarrow -12x + 3y = -12 \Longleftrightarrow 12x - 3y = 12 \). these equations can have solutions in a universe where \(9 = 12.\)
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