Homework

[BK94]

I have a question is 5x-3y=0 the standard form of 3y-5=0. Also is 9-5xy=2 linear because i dont think it is.

 

[mmm4444bot]

If I remember correctly, for linear equations, we have:

Standard Form Ax + By = C

General Form Ax + By + C = 0

(We want A to be a positive number, too.)

So, yes, I believe that we can say 5x - 3y = 0 is written in Standard Form.

General Form would be 5x - 3y + 0 = 0.

The two forms seem to become one, in cases where C = 0.

There are other nuances, like some people say that A, B, and C must be integers, in the Standard Form, but that constraint excludes most lines! What if C is an irrational constant, for example.

Check out Google or Wikipedia, for more details.

You're also correct on the second equation. There is no way to separate the x and y variables, when they're multiplied.

5xy can be made into 5x, by dividing by y.

But, 1/y is not linear.

5xy can be made into 5y, by dividing by x.

1/x is not linear, either.

9 - 5xy = 2 is the same as 5xy = 7.

There's no way to put that into Ax + By = C form.

Cheers ~ Mark

 

[BK94]

thank you so much!

 

[Denis]

BK, what grade are you in?