solve the system by guassion elimination method
2x-y+3z=9
x+y+6=6
x-y+z=2
Answers
Answered by
0
Step-by-step explanation:
2x-y+3z = 9 ...(1) x+y+z = 6 ...(2) x-y+z ....(3) By adding (1) and (2), we get 3x+4z = 15 ...(4) By adding equations (2) and (3), we get 2x+2z = 8 ...(5) By multiplying equation (5) by 2, we get 4x+4z = 16 ...(6) By multiplying equation (4) from (6), we get x = 1 By putting x = 1 in equation (5), we get z+2z = 8 ⇒ z = 8-2/2 ⇒ z = 6/2 = 3 By putting x = 1 and z = 3 in equation (3), we get 1-y+3 = 2 ⇒ y = 4 - 2 = 2 Hence, solution of given system of equations is x = 1, y = 2 and z = 3.
Similar questions