Solving 3 x 3 Linear Systems *assignment*

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

-1,0,-3

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)

1,-1,2

An inconsistent linear system has no solution(s). A dependent linear system has solution(s).

1. No 2. Infinitely many

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

A,B,D

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

C,D

Given: 2x-3y+z=0 3x+2y=35 4y-2z=14 Which of the following is a solution to the given system?

D. 7,7,7

How would you choose to reduce the system shown to a 2 × 2? Explain why you would choose this approach.-3x + y - 2z = 10 (1)5x - 2y - 2z = 12 (2) x - y + z = 23 (3)

Did your answer include any of the following? Eliminate y by adding equations (1) and (3) because the coefficients on y are opposites. Then eliminate y by multiplying equation (1) by 2 and adding it to equation (2). Eliminate z by subtracting equations (1) and (2) because the coefficients are the same. Then eliminate z by multiplying equation (3) by 2 and adding it to equation (1). The variables have to be the same in both equations in the 2 × 2 system.