exam Maths Puzzle Numerical Ability

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(6x^4 + 7x^3y - 3x^2y^2 + 4xy^3 + 4y^4) / (2x + 3y)

answer is 3x^3 - x^2y + 2y^3 remainder -2y^4
how though?

thanks. 2x + 3y = 1
5x + 3y = 16
x = ?
y = ?