Respuesta :

y = a/x

5 = a/2

a = 10

y = 10/x

y = 10/-1 = -10

The variables x and y vary inversely, and y = 5 when x=2, an equation that relates x and y is y = 10/x and when x = -1 then y is-10.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The variables x and y vary inversely, and y = 5 when x=2.

We need to write an equation that relates x and y.

[tex]y = \frac{a}{x}\\5 = a/2a = 10[/tex]

Put the value of (a) in an equation

y = 10/x

when x = -1

y = 10/-1

y = -10

Learn more about linear equations;

https://brainly.com/question/27056029

#SPJ2