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For each equation, determine whether it shows a direct variation (that is, shows directly proportional variables).If it does, find the constant of variation and write it in simplest form.3r - 81 = -7O Direct variation ( K =__)O Not direct variation10y = -5xO Direct variation ( K =__)O Not direct variation-Picture included-

For each equation determine whether it shows a direct variation that is shows directly proportional variablesIf it does find the constant of variation and write class=

Respuesta :

Given:

The equations are given as,

[tex]\begin{gathered} 3x-8y=-7 \\ 10y\text{ = -5x} \end{gathered}[/tex]

Required:

Direct and inverse variation verification.

Explanation:

(a) The equations are given as follows:

[tex]3x-8y\text{ = -7}[/tex]

On simplifying further,

[tex]3x\text{ = 8y - 7}[/tex]

The given equation is not a direct variation.

(b) The equation is given as,

[tex]\begin{gathered} 10y\text{ = -5x} \\ -5x\text{ = 10y} \\ x\text{ = -2y } \end{gathered}[/tex]

The given equation represents inverse variation.

Answer:

Thus the required result is,

a) Not a direct variation

b) A direct variation( k = -2)

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