When the price of X falls, ceteris paribus, the consumer buys more quantity of X and less quantity of Y because of substitution effect (if both of them are normal goods, people strive to substitute comparatively more expensive commodity by cheaper one) and because of income effect (if price of X falls, the purchasing power of income grows).
Cross elasticity of two goods is negative if they are complementary goods (when the price of first commodity falls, the demand for the second one rises).
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