exam Maths Puzzle Numerical Ability

Use the Gauss-Jordan method to slove the sysetm:
3x+y-2z=-1
2x-3y+2z=9
x+y+z=2

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exam Other Question

The distance from Baltimore to New York is about 171 miles. This is about 189 miles less than the distance from Baltimore to Boston. How far is Baltimore from Boston if you stop in Hi, I have to suppose the vertex of the parabola y=3x^2-6x+k is (1,2) I have to find k.
I have substituted x=1 and y=2 into the equation and got
2=3(1)^2 - 6(1) +k
2= 3-6+k
2-3+6=k
k=5
Is this right??? thanks.