Solve the system.
-5x + 7y +z = 16
x + y - 4z = -6
-2x – 3y – z= -8

Given :

System of equations :

-5x + 7y + z = 16  ...1)

x + y - 4z = -6      ...2)

-2x -3y -z = -8     ...3)

To Find :

The solution of given system.

Solution :

Putting value of x from equation 2) in equation 1) and 3), we get :

5( -6 + 4z - y ) + 7y + z = 16

21z + 2y = 46   ...4)

-2( -6 + 4z - y ) - 3y - z = -8

12 - 8z + 2y - 3y -z = -8

-9z - y = -20      ...5)

Multiplying equation 5) by 2 and adding equation 4), we get :

3z = 6

z = 2

y = 20 - 18 = 2

Putting value of z and y in equation 2), we get :

x + 2 - 8 = -8

x = -2

Therefore, the solution of the system is ( -2, 2, 2).

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

answer: sensy

step-by-step explanation: