independent/dependent/inconsistent: 24x - 56y = 72, -15x...

megan0430

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Aug 23, 2006
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24x - 56y = 72
-15x + 35y = -45

Determine whether the equations in the system are independent, dependent, or inconsistent.

PLEASE HELP
gracias <3
 

stapel

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When you solved the system, what solution did you get?

. . . . ."x = (some number), y = (some other number)" => independent
. . . . ."0 = 0" (or similar true-but-pointless equalities) => dependent
. . . . ."0 = 3" (or similar nonsense) => inconsistent

Where does your solution fit? If you're not sure, please reply showing your steps and reasoning. Thank you.

Eliz.
 

tkhunny

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Re: independent/dependent/inconsistent: 24x - 56y = 72, -15x

megan0430 said:
24x - 56y = 72
-15x + 35y = -45

Determine whether the equations in the system are independent, dependent, or inconsistent.
Always keep your eyes open for simple simplifications. There are many common factors roaming about this problem statement.

24x - 56y = 72

Divide all by 8

3x - 7y = 9

-15x + 35y = -45

Divide by -5

3x - 7y = 9

What is your evaluation of this system?

3x - 7y = 9
3x - 7y = 9

Quite a bit more obvious than where we started.
 
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