Solving Dependent Systems (9.2.4)

Question 1

• You can solve a system of three equations in three variables by eliminating one of the variables and solving the resulting system of two equations.

Answer 1

• You can solve a system of three equations in three variables by eliminating one of the variables and solving the resulting system of two equations.

Question 2

• A dependent system of three equations in three unknowns has infinitely many solutions.

Answer 2

• A dependent system of three equations in three unknowns has infinitely many solutions.

Question 3

• A system of equations can be consistent (a solution exists) or inconsistent (no solution exists). A consistent system can be independent or dependent. A consistent and independent system has exactly one solution. A consistent and dependent system has infinitely many solutions.

Answer 3

• A system of equations can be consistent (a solution exists) or inconsistent (no solution exists). A consistent system can be independent or dependent. A consistent and independent system has exactly one solution. A consistent and dependent system has infinitely many solutions.