Solving 3 x 3 Linear Systems

Question 1

An inconsistent linear system has solution(s).

Revolt · Accepted Answer

no

Question 2

A dependent linear system has solution(s).

Revolt · Accepted Answer

infinitely many

Question 3

What are all of the possible classifications for a 3 × 3 system? Check all of the boxes that apply.

Revolt · Accepted Answer

consistent and dependent; consistent and independent; inconsistent and independent

Question 4

Which of the following is a solution to the given system?

Revolt · Accepted Answer

(7, 7, 7)

Question 5

The system shown has the unique solution (2, y, z). Solve the system and select the values that complete the solution.

Revolt · Accepted Answer

y = 3; z = 0

Question 6

Solve the 3 × 3 system shown below. Enter the values of x, y, and z. x + 2y – z = –3 (1)2x – y + z = 5 (2) x – y + z = 4 (3)x = y = z =

Revolt · Accepted Answer

Part 1: 1; Part 2: -1; Part 3: 2

Question 7

z =

Revolt · Accepted Answer

2

Question 8

Solve the following 3 × 3 system. Enter the coordinates of the solution below. 2x – 3y – 2z = 4 x + 3y + 2z = –7–4x – 4y – 2z = 10(, ⇒ 0, ⇒ -3)

Revolt · Accepted Answer

Part 1: -1

Solving 3 x 3 Linear Systems Answers