Quadrilateral JKLM has side lengths of JK = 2y + 3, KL = 8x – 10, LM = 5y – 6, and JM = 3x + 20. Find the values of x and y that make quadrilateral JKLM a parallelogram.

In a parallelogram, opposite sides have equal lengths. Set JK equal to LM: 2y + 3 = 5y − 6, which gives y = 3. Then set KL equal to JM: 8x − 10 = 3x + 20, which gives x = 6. The matching choice is x = 6, y = 3.

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