write each equation in vertex form, algebra homework help

1,)

write each equation in vertex form. then indentify the vertex, axis of symmetry, and direction of opening, y=x^2+10x+27

y=-9x+54x-8

2.)

find the exact solution to the solution to the system of equations. check answers algebraically

y= x^2 – 6x + 1

y+2x=6

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2x^2 – 4x = y +1

x + y = 1