Question

[6.03] Solve the following system of equations.
3x - 2y = 6
6x - 4y = 14

(0, 0)

(6, 14)

Infinitely Many Solutions

No Solutions

Answer 1

no solution as they are parallel line

Answer 2

But don't assume that parallel lines will never have a solution. That's a big mistake a lot of people do

Answer 3

@Romero i dont think parallel lines have a solution

Answer 4

Some of them do.

Answer 5

No this one of course I'm simply stating that to assume there is no solution to two parallel lines is something we shouldn't do.

Answer 6

give me a example when parallel lines have solution

Answer 7

3x - 2y = 7
6x - 4y = 14

Answer 8

they are same lines

Answer 9

So they have infinite solution!!!!

Answer 10

thus they have a solution!!

Answer 11

but this is only 1 line

Answer 12

Well in real life applications you can use two different examples

Answer 13

that come up with infinite solutions

Answer 14

but we cant say these two lines are parallel as they both are same

Answer 15

Yes!