Question

For the inverse variation equation xy=k what is the constant of variation k when x=-3 And y=-2

Answer 1

ANSWER

The constant of variation is 6.

EXPLANATION

The inverse variation equation is:

$xy = k$

We want to find the constant of variation, when x=-3 and y=-2.

We substitute the values for x and y to get,

$- 3 \times - 2 = k$

Multiply out the left hand keeping in mind that negative times negative yields a positive result.

This implies that;

$k= 6$

Hence the constant of variation is 6.

Answer 2

Answer:

The constant of variation k is 6.

Step-by-step explanation:

Given that there is inverse variation between x and y with equation

$xy=k$

we have to find the constant of variation k when x=-3 and y=-2

The inverse variation equation is:

$xy = k$

To find constant of variation we substitute the values of x and y

Put x=-3 and y=-2

$(-3)\times (-2)=k$

Solve LHS by multiplying

This implies

$k= 6$

Hence the constant of variation is 6.