A system where the two equations overlap at one, multiple, or infinitely many points is called a consistent system.
When solving a system of coincident lines, the resulting equation will be without variables and the statement will be true. You can conclude the system has an infinite number of solutions. This is called a consistent-dependent system.
A system with no solutions is called an inconsistent system. For linear equations, this occurs with parallel lines.
In algebra, to substitute means to replace a variable or term with a specific value.
Identify consistent and inconsistent linear systems.