Question

Describe how one of the three given variables is independent when paired with one of the remaining variables, but is dependent when paired with the other remaining variables

Answer 1

`y = x+8; x=8-y-z`

Explanation:

For example, let x, y and z be given variables. When we pair some variables, that means that we express the relationship between them. So, when we solve for a variable and it represents a unique value, that variable is called a dependent variable. Any remaining variables are called independent variables. For example, we will pair x and y and get

y = x + 8

Here, x is independent variable while y is dependent variable because its value depends on the value of x.

Now, we will pair all three variables on the following way :

y + z = x + 8 ⇒ x = 8 - y - z

Now, we have that x is dependent value because its value depends on the values of y and z.