Solve this system of equations

-2x+5y+4z=-4

-5x-y+z=-1

2y+2z=-4

x = - 1, y = 2 and z = - 4.

Step-by-step explanation:

-2x + 5y + 4z = - 4 ... (A)

-5x - y + z = - 1 ... (B)

2y + 2z = - 4 ... (C) Multiply (A) by 5 and (B) by - 2:

-10x + 25y + 20z = - 20 ... (D)

10x + 2y - 2z = 2 ... (E) Adding D + E:

27y + 18z = - 18 Dividing by 9:

3y + 2z = - 2 ... (F) Subtract: (C) - (F):

-y = - 2

y = 2.

Substitute for y is (C):

4 + 2z = - 4

2z = - 8

z = - 4.

Substitute for y and z in (A):

-2x + 5 (2) + 4 (-4) = - 4

-2x = - 10 + 16 - 4 = 2

x = - 1.