Question

Which is the correct classification of this system of equations?
-2x + y = 7
3y = 6x + 4

1) parallel
2) coincident
3)intersecting

Answer 1

they are not colinear (i.e. one is a multiple of another), When you subtract one from the other, it gives you a point, so they intersect. If it helps, graph them before solving

Answer 2

So you are saying its #3 correct?

Answer 3

@P0sitr0n both equations are :
y = 2x +7
y = 2x + 4/3
so they have the same slope which implies they are parallel not intersecting :)