Solving_systems_of_equations_with_substitution
Learn about the substitution method, which is another way to manipulate systems of equations in order to solve them.
Analyzing_the_solutions_to_systems_of_equations
Learn how to determine the number of solutions a system of equations has, without having to go through the entire solution process.
Equivalent_systems_of_equations_and_the_elimination_method
Learn about the elimination method, which is a way manipulate systems of equations in order to solve them algebraically. This is actually very similar to the way we manipulate single equations in order to solve them!
The_possible_number_of_solutions_of_systems_of_linear_equations
Learn about the possible number of solutions of systems of linear equations. Spoiler: There can be a single solution, zero solutions, or infinite solutions. These different cases define the distinctions between "consistent" and "inconsistent" systems, and between "dependent" and "independent" systems.
Introduction_to_systems_of_linear_equations
Learn what "systems of equations" are, what counts as a solution to such a system, and how we can use graphs to solve them.
Systems_of_linear_equations_word_problems
Now that we are able to solve any kind of system we are given, it's time to use that knowledge to solve some word problems.
Solving_any_system_of_linear_equations
Use everything you learned so far in order to solve any kind of system of equations!
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