exam Maths Puzzle Numerical Ability

Can you please help me solve using the substitution method?

x + 7y = 16
-3x + 6y = 33

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exam Other Question

What is the result of dividing x^3-6x+7 by x-2?

Answer choices:
A) x^2-2x-2+ 11/x-2
B) x^2-2x-2+ 3/x-2
C) x^2+2x-2+ 3/x-2
D) x^2+2x-2 -11/x-2
E) x^2-2x+2+ 3/x-2 Find the perfect square trinomial whose first two terms are q^2 + 3q.

My answer is

q^2 + 3q + (9/4)

I did the "complete the square method" (1/2 x 3)^2 and got (3/2)^2 and finally 9/4. Is this correct?