Book Maths Puzzle Algebra

sketch the graph of the equation. Label the vertex
20.{{{y=-x^2+2x-1}}}

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Book Other Question

i need help on how to solve each system. could you please explain it step by step?

first problem:
3x-7y=-5
4x+y=14

second problem:
2x+5y=10
6x+15y=25 A swimmer takes 100seconds to swim 50m. In 1 years time he has increased it's speed by 25%. Wat is the time he took to swim 50m now.