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(-2,-1,-3)

Step-by-step explanation:

5x-4y-3z=3

x+y-z=0

x=3y+1

Multiply the second equation by -3

-3(x+y-z)=0*3

-3x-3y+3z =0

Add this to the first equation to eliminate z

5x-4y-3z=3

-3x-3y+3z =0

2x-7y =3

Substitute x =3y+1 into the above equation

2(3y+1) -7y=3

Distribute the 2

6y +2 -7y = 3

Combine like terms

-y+2 =3

Subtract 2 from each side

-y+2-2 = 3-2

-y = 1

Multiply by -1

-y*-1 = 1*-1

y =-1

We need to find x

x=3y+1

x =3(-1) +1

x =-3+1

x=   -2

Now we need to find z

x+y-z=0

-2+-1-z=0

-3-z=0

Add z to each side

-3-z+z=0+z

-3=z

x=-2, y=-1 z=-3

(-2,-1,-3)

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step-by-step explanation:

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step-by-step explanation: