contestada

suppose that y varies directly as x and y = -9 when x = 3. find the value of x when y = 18.

Respuesta :

The value of x when y = 18 is -6.

Concept:

  • Here as x & y are directly proportional, [tex]\frac{x}{y} = k[/tex]

How to solve the given question?

  • As x & y are directly proportional, [tex]\frac{x}{y} = k[/tex]
    ∴ [tex]\frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex]
    ∴ [tex]\frac{x}{18}=\frac{3}{-9}[/tex]
    ∴ x = [tex]\frac{3}{-9}[/tex] × 18
    ∴ x = -6

Thus the value of x when y = 18 is -6.

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