6x+3=3x = to an orderd pair

Question

As an orderd pair

Answer 1

6x + 3 = 3x

subtract 3x from both sides

6x - 3x + 3 = 0

3x + 3 = 0

subtract 3 from both sides

3x = -3

divide both sides by 3

x = -1

 

This graphs as a vertical line where x is always -1

and y is any real number.  Since this is a line there

are infinite ordered pairs to satisfy it.

 

..., (-1, -2), (-1,-1), (-1,0), (-1, 1), (-1,2), ...