Question

@phi
Is the system consistent or inconsistent? 2x + 3y = 5 and 4x + 6y = 19

Answer 1

@phi Please Help!

Answer 2

can you change both equations to y= mx + b form?

Answer 3

How?

Answer 4

when you get time, see
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/point-slope-form/v/point-slope-and-standard-form

Answer 5

just a sec

Answer 6

the other way to do this problem is divide the second equation by 2 (that means divide both sides and *all terms* by 2)
you start with
4x + 6y = 19

now divide both sides and all terms by 2
2x + 3y = 19/2

compare to the first equation
2x + 3y = 5

the left sides are the same , but the numbers on the right side are different.
common sense says: if 19/2 = 2x+3y and 2x+3y= 5 then 19/2 = 5
which cannot be true. so this system is inconsistent

Answer 7

Than You, I might Have A few More Questions

Answer 8

the other way is to change to y= mx + b
form for both lines.
you will find they have the *same slope* - that means either they are parallel and never meet or are the same line. The "b" will be different. that means different lines, and you have option 1: the lines are parallel and never meet. so no solution (i.e. inconsistent)

Answer 9

Thank you, I understand now, but I have a new Question posted :)