Final answer:
A conditional equation expresses a necessary and sufficient condition in the form of an if-then statement, while an inconsistent equation has no solution and leads to a contradiction.
Step-by-step explanation:
A conditional equation is a logical statement that expresses a necessary and a sufficient condition, usually in the form of an if-then statement. It is represented as 'If A, then B' where A is the antecedent and B is the consequent. An example of a conditional equation is 'If it is raining, then the ground is wet'.
An inconsistent equation, on the other hand, is an equation that has no solution. It leads to a contradiction when solved. For example, '2x + 3 = 2x + 5' is an inconsistent equation because there is no value of x that satisfies the equation.