Equations (one, none, or infinitely many solutions)

Recognize linear equations as having one, none, or infinite solutions (challenging)

Identify the type of solution for each equation. If the equation has one solution, write it as a decimal or an improper fraction.

\(-6 + 3 c = 3 c -6\)

Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).