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Describe the difference between inductive and deductive reasoning.

How is writing an equation to represent a situation involving two variable similar to writing an equation to represent a situation involving only one variable? how is it different?

How is writing an equation to represent a situation involving two variable similar to writing an equation to represent a situation involving only one variable? how is it different?

1. The major difference between inductive reasoning and deductive reasoning is inductive reasoning is mainly concerned with forming and developing a theory, whearas deductive reasoning is mainly concerned with putting already developed theories into test.

2. An equation written with one variable is similar to that written with two variables in a manner that they both have unknowns that you need to solve and know.

3. They differ in a manner that the equation with one variable represents a single situation where there is just one unknown quantity, for instance, if you bought a pen for $5 and you need to know how many pens you can buy for $25. This can be represented with this: 5p = 25 where p stands for number of pens.

On the other hand, an equation of two variables represents a situation where there are two unknowns that have a relationship. For instance, if you buy a pen and a book for $5 and you buy 2 pens and a book for $7 and you need to know the price for one book and a pen, this could be found by representing the situation with these simultaneous equations:

p + b = 5

2p + b = 7

Where p and b stand for pen and book respectively.