How Do You Solve Linear Equations & Linear Inequalities?
A linear equation describes a set of values in two dimensions, x and y. When this is graphed, it’s a line. The equation defines what the value of the point along the y axis will be for a value of x and vice-versa. A linear inequality is much like a linear equation; it too defines a line, but that line is the demarcation of an entire region in the two-dimensional space, which may or may not include the line itself. On a graph, it appears as a whole shaded area. If the line that borders it is solid, the area of the line is included. A dotted line signals that the shaded region reaches to, but does not include, values in the line itself. Linear equations can be mathematical statements that use addition, subtraction, multiplication or division. They have up to two variables that represent values along the x and y axes on a graph, so they are denoted as x and y. The variables cannot be multiplied or divided by each other, nor can they have exponents (powers) or roots. Examples of linear equ