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 Description  
 Equivalent Equations:  Equations that have the same solutions.

Suppose each audio CD costs $12.00 at a certain store. An equation to determine the change due from a $50.00 bill for the number of CDs you want to purchase is:

c = 50 - 12n


c is a variable representing the change due and n is the variable representing the number of CDs purchased. If you bought 1 CD, then the change is $38.00. If you bought 3 CDs, then the change is $14.00.

If you recieved $26.00 in change, then we can determine the number of CDs purchased. Finding the number of CDs purchased in this instance is called solving the equation. There are several ways to solve this equation. When the equation is solved, the solution is 2 CDs purchased. We can show this solution by replacing the variables with the respective numbers.

$26.00 = $50.00 - $12.00(2)

This equation is equivalent to
26 = 50 - 12(2)

Both of these statements are true.