User:Codypuma/sandbox

Algebra is a branch of mathematics. It lays the foundation for other concepts, such as calculus and differential equations, it can be solved in the traditional mathematical way, or it can be solved by the application of logic to the problem that you are trying to solve. This application of logic is far less commonly used but can still be used in algebra

First let's take a look at the problem 3x+6-3=0, solve for x. This is very easy problem really. The goal is to solve for x. Add three, then subtract 6 and then divide by three, the answer is negative one. Now if yo look at it the logical way, you can see that first you multiply by three. By looking at this logically, you can spare yourself from doing it backwards, by instead looking at all the operations. Think of any number, since this ends in zero, includes addition following multiplication, and then subtraction, you know that somewhere you have a three, and then there is the add six, that should immediately tell you that if you are looking at it through the logical way, that it is three below zero, next you know that it is 3x, so then you should arrive at the answer negative one, it sound very complex, but really, it is the mathematical way of the application of logic to algebra so that if you know all of your operations, then you will get negative one, or the variable. So it is exactly the same as the traditional way of doing algebra, except, the fact that you can arrive at the answer without as much strain on the problem, however, you need a certain degree of mathematical capability and number sense in order to do this way of getting the answer to this problem. Now, logic should not be used for every problem that you come across in algebra, it becomes more important in higher level algebra, let's look at a problem that is a bit more challenging than the one that was earlier presented.

y+8 x= If y is 6 and then you multiply the quotient by c which is the square root of 169, then what is x? If you think about this problem is not that hard fighter, however it is at a higher than the elementary problem that you solved earlier. Well according to order of operations, you should do division first. 6+8=14/2+7*13= 91, that is the mathematical way of solving this problem. Now, To do this logically, do all the steps that you 2 did last problem, and