Book Maths Puzzle Algebra

Hi, I am trying to find the vertex, y-intercept, domain and range of the following equation:
y= -x^2-20x-3

when I try to fing the x cordinate of the vertex I get 303??? Is that

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Book Other Question

If You subtract 27 from the product of 8 and a number, you get 1789. What is the number? 4/3x-y=4
3/4x-y=1/2
How do I find the solution to each system by addition and check the problem?