Question

How do you figure out what the order pairs are in this equation? 2x-2=y

Answer 1

Equations express relationships between variables and constants. The solutions to two-variable equations consist of two values, known as ordered pairs, and written as (a, b) where "a" and "b" are real-number constants. An equation can have an infinite number of ordered pairs that make the original equation true.

Here, the given equation is,

`2x-2=y`

Rewriting this equation in terms of x, we have,

`\begin{gathered} 2x-2=y \\ 2x=y+2 \\ x=(y+2)/(2) \end{gathered}`

So, now creating a table, with the values, we get the ordered pair. For example, let us take x as 1, then ,

`\begin{gathered} 1=(y+2)/(2) \\ 2=y+2 \\ y=0 \end{gathered}`

So, (1,0) is an ordered pair in this equation.

If x =0,

`y=0-2=-2`

So the pair is, (0,-2).