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For the first equation, the statement "The smaller of 2 numbers is 10 less than 4 times the greater number" can be represented as follows: x = 4y - 10. Since the bigger number is 19 more than the smaller one, the second equation can be written as y = x + 19.
Therefore, the correct answer for the first equation is d) x = y + 19, and the correct answer for the second equation is a) x = 4y - 10.
By substituting the values of x and y, you can verify that these equations hold true.