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 a(-1, 2, 22) b(-10, 22, 42) c(-1, 2, 4) d(-10, 2, 22) select the best answer from the choices provided a b c d

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Step-by-step explanation:

The system of equations is given by, 2x+y+4z=16; 5x-2y+2z=-1 and x+2y-3z=-9.

The augmented matrix is .

Multiplying the first row with we get, .

Subtracting the 5 times of the first row from second row we get, .

Multiplying the second row by , we get .

Subtracting the first row from the third row we get, .

Subtracting Half of the second row from the first row and one and half of the second row from the third row, we get .

Dividing the third row by -9 we get, .

Adding two-third of the third row with the first row and subtracting of the third row from the second row, we get, .

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