Question

3 Select the correct answer. What is the solution to this system of equations? 2.1 + y + z = 2 4r + 2y + 2z = 4 -61 – 3y – 3z = -6 O A. no solution OB. Infinite solutions OC. (2,0,2) OD. (0,1,1) Reset Next 2021 Edmentum. All rights reserved

Answer 1

Given:

2x + y + z=2 .... (1)

4x +2y +2z=4 .... (2)

-6x -3y -3z =-6.... (3)

Taking Equation (3)

-6x-3y-3z=-6

Divide by -3,

2x+y+z=2 ....(4)

By subracting equation (2) and (4),

0=0

Therefore, the system of equation has infinitely many solution.

Option B is the correct answer.