3rd Periodic Test Flashcards
A collection of two or more equations with the same set of unknowns in the form Ax + By = C, ax + by = c where A, B, a, and b are not equal to 0.
System of Equations (SOE)
consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously.
Classifying Systems of Linear Equations in Two Variables
Two or more linear equations considered together
System of Linear Equations (SOLE)
independent
one solution
dependent
Infinite solution
inconsistent
No solution
what system has an infinite number of solutions
Consistent & Dependent
If the two equations are equivalent, the equations are dependent
True
What is a graph of a system with no solution
Parallel
A system can be solved _______
graphically
the graph of _____________ Solutions are the same
dependent
An ____________ that satisfies a system of linear equations is a solution to the system
ordered pair