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The ordered pair (2, 3) is a solution to the equations 2x + y = 7 and 3x + 5y = 21. Substituting x with 2 and y with 3 in both equations results in satisfying them. Another example is given with equations 3x - 2y = 16 and 2x + 5y = -3, testing if the point (4, -2) is a solution. Feel free to pause and try it yourself.