What is the soultion to the system of equations 2x+y-z=-3, 5x-2y+2z=24,3x-z=5
(4, 1, 8)
(−1, 0, −8)
(−5, 4, −3)
(2, −6, 1)

(2,-6,1)

Step-by-step explanation:

y = -2x + z - 3

5x - 2•(-2x+z -3) + 2z = 24

9x = 18

9x = 18

x = 2

3•(2) - z = 5

- z = -1

z = 1

x = 2

y = -2x+z-3

z = 1

y = -2(2)+(1)-3 = -6

{x,y,z} = {2,-6,1}

 The correct option is

(D) (2, -6, 1).

Step-by-step explanation: We are given to solve the following system of linear equations :

From equation (iii), we have

Substituting the value of z from equation (iv) in equations (i) and (ii), we have

and

(v) × 2 - (vi) gives us

So, from equation (v), we get

From (iv), we get

Thus, the required solution is

(x, y, z) = (2, -6, 1).

Option (D) is CORRECT.

step-by-step explanation:

1

the radius is 2 times the diameter.

step-by-step explanation: