First degree equations, it is a symmetry of two expressions, where there is an unknown whose value can be related through arithmetic operations. They are called equations of the first degree if the exponent of the unknown is one.
To solve a first degree equation, the terms must cross from one side of the equation to the other, so that all the terms with the unknown are on one side and the others on the other, taking care to maintain the equality of expression.
The first degree literal equation contains literal expressions in addition to the unknown. By convention, the last letters of the alphabet are identified as unknown, and literally the first letters of the alphabet (these literals are assumed to be constant values).
This unknown quantity is the unknown, which is generally designated by the lower case letters of the final part of the alphabet: w, x, y, and z; the initial lowercase letters of the alphabet: a, b, c. Said resolution equations represent a solution whose name we will call roots of the equation to the values of the unknown that meet the equality
To solve the equations of the first degree, the following steps must be followed:
1. Similar terms are shortened, where possible.
2. The transposition of terms is carried out (the additive or multiplicative inverse is applied), where the unknown is located on the left side and those that do not have it on the right.
3. Similar terms are shortened, as much as possible.
4. Solve for the unknown, applying quotient to the two factors of the equation by the coefficient of the unknown (multiplicative inverse) and simplify.
The expression is an equation, that is, an equality that is satisfied by a value of.
The left side of the equality is called the first member of the equation and the right is called the second member.
Equally there are known numbers (y) and others that are not (x).
They are the terms of the equation: it is the unknown, since it is the number that must be found, (and) and they are independent terms, because they are not associated with any unknown.
All the equations that will be discussed in this topic are called linear or of the first degree because the power to which the unknown rises is 1, that the unknowns do not have exponents.
