Solving 3 x 3 Linear Systems Answers

Which classification describes the following system of equations?

A system of three linear equations in three variables is inconsistent. How many solutions to the system exist?

Which classification describes the following system of equations?

Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

Several customers order small fruit baskets filled with apples, bananas, and oranges. Let a represent the price per pound of apples, b represent the price per pound of bananas, and c represent the price per pound of oranges. The system represents the number of pounds of each type of fruit and the total price of each fruit basket. How much per pound does each type of fruit cost?

The cost for three packages of moving boxes is modeled by the system of equations below. Let s represents the cost of each small box, m represents the cost of each medium box, and l represents the cost of each large box. Which ordered triple (s, m, l) represents the costs of the three boxes?

A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?

Which system is independent and inconsistent?

A system of three linear equations in three variables is consistent and dependent. How many solutions to the system exist?

What is the solution to the following system?