The system of equations represented by 3x+2y=a and 3x+2y=b. If a ≠ b, the lines intersect how many times? a. Once b. Twice c. Never d. Everywhere e. Cannot be determined by given information.

Question

The system of equations represented by 3x+2y=a and 3x+2y=b. If a ≠ b, the lines  intersect how many times? a. Once b. Twice c. Never d. Everywhere e. Cannot be determined by given  information.

anonymous · Answer

well we have parallel and distinct lines. so they would never meet

mary.rojas · Answer

what do you mean?

anonymous · Answer

|dw:1373516338509:dw|

anonymous · Answer

that what would happen if a≠b

anonymous · Answer

if a=b they would be the same line...

anonymous · Answer

so if a≠b then they would be completely different lines

mary.rojas · Answer

ohhh okay. so the answer is "C"?

anonymous · Answer

but they are parralel due to the same slopes

anonymous · Answer

yep

mary.rojas · Answer

WAITTT. C is the answer because they have the same slope (2/3) but since a doesnt equal b they never cross each other?

anonymous · Answer

if they have the same slope they are parralel. if a=b then they would be the same line so it would intersect everywhere but if a≠b then u will get two distinct lines which don't intersect

anonymous · Answer

these lines will never cross each other even if a=b

anonymous · Answer

all it is is that the two lines are the same line or they aren't (just parralel)

mary.rojas · Answer

so "c"

anonymous · Answer

yep

mary.rojas · Answer

thanks so much!!