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Verified answer

First of all we will eliminate x from our equations. In order to do that we will use our first and second equation and then we will use second and third equation.

Upon subtracting 2 equation from 1 we will get,

Now we will use second and third equation to eliminate x.

Adding 2nd and 3rd equation we will get,

Now we will find out y from our 4th and 5th equation.

Upon subtracting 5th equation from 4th equation we will get,

Now let us find out z by substituting y's value in 5th equation.

Now we will find x from by substituting y and z's value in equation 1.

Therefore, x=1, y=1 and z=0 is the solution of the given system.