Question

Which is the correct classification of the system of equations below?

12x-3y=9
y-4x=-3

A)parallel
B)coincident
C)intersecting

Answer 1

can you solve the system?

Answer 2

you either get 1, none, or infinite solutions

Answer 3

1 implies intersecting, infinite implies they are the same, 0 implies they have the same slope but never touch

Answer 4

So is it coincident?

Answer 5

the second equation is \(-4x +y = -3 \Longleftrightarrow -12x + 3y = -12 \Longleftrightarrow 12x - 3y = 12 \).

these equations can have solutions in a universe where \(9 = 12.\)