Which one of these equations is correctly written in Standard Form?

1/4 x + y = −6

4x + 3.5y = −6

x + 4y = −24

−4x + y = −24

Question

Which one of these equations is correctly written in Standard Form?

1/4 x + y = −6

 4x + 3.5y = −6

 x + 4y = −24

 −4x + y = −24

anonymous · Answer

Hi there! I can help you. Do you understand standard for or are you completely lost?

anonymous · Answer

lost lol

anonymous · Answer

That's okay. :) There are a couple of different standard forms. 

These are linear equations. So the standard form of a linear equation is: $$Ax + By = C$$

anonymous · Answer

Do you see any choices that are NOT in this form?

anonymous · Answer

I guess I should also add that your "A" value can NOT be negative.

anonymous · Answer

the first one

anonymous · Answer

and the last one lol

anonymous · Answer

Great! The first one and the last one can be eliminated. Also, note that choice A has something else wrong with it - for choice A, 1/4 is an invalid number. You can only use integers (whole numbers) in linear standard form, not fractions and not decimals. Do you see anything else that can be eliminated?

anonymous · Answer

so its the third one?

anonymous · Answer

PERFECT! 

$$x + 4y = −24$$ follows the formula $$Ax + By = C$$  perfectly. It follows all of these rules:

"A" CAN'T be negative, "A" and "B" can't BOTH be zero, and "A", "B"and "C" should all be integers (whole numbers).

Great job!

anonymous · Answer

thank you!

anonymous · Answer

You're welcome, have a nice day! :)