Solving Linear Systems in Three Variables (9.2.2)

Question 1

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

Question 2

• An independent system of three equations in three unknowns has exactly one solution.

Answer 2

• An independent system of three equations in three unknowns has exactly one solution.

Question 3

• A dependent system of three equations in three unknowns has an infinite number of solutions.

Answer 3

• A dependent system of three equations in three unknowns has an infinite number of solutions.

Question 4

• An inconsistent system of three equations in three unknowns has no solutions.

Answer 4

• An inconsistent system of three equations in three unknowns has no solutions.