Question

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations
2x+y+4z=16
5x-2y+2z=-1
x+2y-3z=-9

Answer 1

Answer:

(-1, 2,4)

Step-by-step explanation:

Write the system of equations in matrix form.

[2, 1 4 16]

[5 -2 2 -1 ]

[1 2 -3 9]

Find the reduced row echelon form of the matrix.

[1 0 0 -1 ]

[0 1 0 2 ]

[0 0 1 4 ]

hence x = -1

y = 2

z = 4

The solution is the set of ordered pairs is (-1, 2,4)

Answer 2

Step-by-step explanation:

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations

2x+y+4z=16

5x-2y+2z=-1

x+2y-3z=-9