In mathematics and in particular in algebra, a linear or nonlinear system of equations is consistent if there is at least one set of values for the unknowns that . In this lesson, we'll review what a system of equations is. We'll also define a specific type of system called a consistent system of equations, as. Systems of equations can be classified by the number of solutions. If a system has at least If a consistent system has exactly one solution, it is independent.
All the systems of equations that we have seen in this section so far have had unique solutions. These are referred to as Consistent Systems of Equations. Consistent and Inconsistent Systems, Conditions for Consistency and Inconsistency of Equations. Practice question and solved examples at BYJU'S. Solve a system of linear equations by graphing. · Determine whether a system of linear equations is consistent or inconsistent. · Determine whether a system of.
In Algebra,a Linear equation of form ax + b = 0, where a and b are constants and a ≠ 0 ax + by + cz + d = 0, where a, b, c, and d are constants. A consistent linear system is a system of linear equations with at least one set of values satisfying all equations. Consistent equations definition, two or more equations that have at least one common solution. See more.