Question

Given x varies inversely with y and xy = 2, what is the value of x when y = 1?

Answer 1

Answer: $x=2$

Step-by-step explanation:

The equation for inverse variation is:

$x=\frac{k}{y}$

Where "k" is the constant of variation.

If you solve for for the constant "k", you get the form:

$k=xy$

So, if $xy=2$ then $k=2$

Knowing the value of "k", you can find the value of "x" when $y=1$, by substituting these values into the equation $x=\frac{k}{y}$.

Therefore, you get that the value of "x" when $y=1$ is:

$x=\frac{2}{1}\\\\x=2$

Answer 2

Answer:

x=2

Step-by-step explanation: