ABEKA 9th Grade Algebra Quiz 15

system of linear equations

two or more linear equations having the same variables

solution

the ordered pair that satisfies all the equations in the system simultaneously

intersecting, parallel, or coincident

three possible that relationships between two lines in the Cartesian plane

point of intersection

intersecting lines provide only one solution, what is it?

consistent system

a system of intersecting lines or coincident lines is a ___ because it has at least one solution

inconsistent system

parallel lines indicate an ___ system because no solution exists

dependent equations

They form a consistent system having coincident lines because one equation is simply a multitude of the other

independent equations

They are unrelated equations that for either a consistent system having intersecting lines of an inconsistent system having parallel lines