Answer:
Step-by-step explanation:
In a study of algebra, you will encounter many families of equations, or groups of
equations that share common characteristics. Of interest to us here is the family of
linear equations in one variable, a study that lays the foundation for understanding
more advanced families. In addition to solving linear equations, we’ll use the skills we
develop to solve for a specified variable in a formula, a practice widely used in science,
business, industry, and research.
A. Solving Linear Equations Using Properties of Equality
An equation is a statement that two expressions are
equal. From the expressions and
we can form the equation
which is a linear equation in one variable. To solve
an equation, we attempt to find a specific input or xvalue that will make the equation true, meaning the
left-hand expression will be equal to the right. Using
Table 1.1, we find that is a
true equation when x is replaced by 2, and is a false
equation otherwise. Replacement values that make
the equation true are called solutions or roots of the equation.