Which value table is correct for the line 5x + y = 21?

Correct answer: (x = 2, y = 11) and (x = 4, y = 1)

The governing concept is point verification for a linear equation: every ordered pair in a valid value table must make the equation true when substituted. For option A, the first pair gives 5(2) + 11 = 10 + 11 = 21. The second gives 5(4) + 1 = 20 + 1 = 21. Thus both points belong to the line, so A is correct. Option B gives 11 for the first pair and 31 for the second, not 21. Option C gives 5 and 46, and option D gives 26 and 24. Since only option A contains two pairs satisfying 5x + y = 21, it is the correct table for plotting the line. This substitution test is more reliable than guessing from coordinates.