Systems of Equations

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. There are three types of linear equations: inconsistent, consistent with independent equation and dependent equation. When X = a number, y = a number the system is independent and the equations will have different values of m when both are placed in y = mx + b (slope-intercept) form. When an inconsistent equation, such as 0 = 3,the system is inconsistent and equations will have the same value of m, but different values of b, when both are placed in y = mx + b form. When an identity, such as 5 = 5, the system is dependent and equations will be identical when both are placed in slope-intercept form