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halokel
10-29-2008, 11:36 PM
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

Denis
10-29-2008, 11:52 PM
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
10-29-2008, 11:57 PM
Thank you! Understood!

Halokel

Subhotosh Khan
10-30-2008, 08:07 AM
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.).