# For each equation, determine whether it represents a direct variation, an inverse variation, or neither.Find the constant of variation when one exists and write it in the simplest form.21x+3y=0-2x+7y=-3

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For each equation, determine whether it represents a direct variation, an inverse variation, or neither.

Find the constant of variation when one exists and write it in the simplest form.

21x+3y=0

-2x+7y=-3

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Step 1

a)

The given equation is 21x+3y=0.

Rewrite 21x+3y=0 as follows.

Step 2

The  above equation is observed to be in the form of x = ky.

Thus, the equation 21x + 3y = 0 is a direct variation and  the constant of variation is (-3/21).

Step 3

b)

The given equation is -2x+7y=-3.

Rewrite the...

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