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

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.