linear equations: is x/4 - y/2 = 1 a linear equation?

halokel

New member
Joined
Oct 29, 2008
Messages
9
Is the following a linear equation? My daughter's math teach tells her that linear equations do not contain fractions.

x/4 - y/2 = 1

I believe it is the same as 1/4x-1/3y = 1 and the answer is yes, it is a linear equation.

Thank you.

Halokel
 
Re: linear equation

halokel said:
Is the following a linear equation? My daughter's math teach tells her that linear equations do not contain fractions.
x/4 - y/2 = 1
Multiply each term by 4:
x - 2y = 4
Now transform that in format y = mx + b
 
halokel said:
Is the following a linear equation? My daughter's math teach tells her that linear equations do not contain fractions.

x/4 - y/2 = 1

I believe it is the same as 1/4x-1/3y = 1 and the answer is yes, it is a linear equation.

Thank you.

Halokel
In simple english:

As long as x and y has only power of one ( no square or cube or square root or cube root, etc.) and they are not multiplied with each other ( i.e. no xy term) - then the equation is linear. You can extend this interpretation to any number of dimensions (x, y, z, etc.).
 
Top