## Algebra## Algebra Explained |

## What are equations? |

In its simplest form, an equation is represented by expressions written with an equal sign in between; the two entities on either side are equal to each other. They are among the simplest mathematical problems most people deal with; in fact, most people have solved equations in their daily lives without realizing it. For example, when students first learned addition in school, they typically work on equations such as: ____ + 5 = 7, in which the blank needs to be filled. This problem could also be expressed as *x* + 5 = 7, a simple equation. In this case, the equation is solved when *x* equals 2. The following are also equations:

6 = 6

*x* = 8

*y* + 8 = 14

*x* - 4 - 15 - *x*

5*xy* - 8*xy*^{2} + 4

There are also some fundamental properties of equations that are good to know. They include symmetric properties (if *a* = *b*, then *b* = a); substitution (if *a* = *b,* then *a* may be replaced by b); addition (if *a* = b, and *c* is a number, then *a* + *c* = *b* + c); and multiplication (if *a* = b, and *c* is a number, then *a* × *c* = *b* × *c*).