book Maths Puzzle Numerical Ability

i need help with this question, i dont understand how to do it.

solve for x in terms of y

x - 2y = 18

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Solve using the quadratic equation:
(3x^2-2x) + (-15x+10)=0
(3x^2 - 17x +10)= 0
(3x^2 -2x -15x +10)=0
x(3x-2) + (-5) (3x-2)=0
(x-5)(3x-2)=0
(x-5)=0 or (3x-2)=0
x=5 or 3x=2
x=5 or x=2/3 Thank you for making this resource available to me. I am struggling with a word problem.Here goes:
"Are those your children I hear playing in the garden?" asked the visitor.