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

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.).

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