Final answer:
None of the given ordered pairs (4, 1), (5, -2), (6, -1), or (7, -3) satisfy the equation 3x - 4y = 26 when we substitute the values into the equation. Each attempt results in a different number that is not equal to 26.
Step-by-step explanation:
The student's question involves finding the correct ordered pair that satisfies the equation 3x - 4y = 26. To find which of the given options is the correct ordered pair, we need to substitute the x and y values from each pair into the equation and check if the equation holds true.
Option a: (4, 1)
3(4) - 4(1) = 12 - 4 = 8 (This does not equal 26, so it is not the correct pair)
Option b: (5, -2)
3(5) - 4(-2) = 15 + 8 = 23 (This does not equal 26, so it is not the correct pair)
Option c: (6, -1)
3(6) - 4(-1) = 18 + 4 = 22 (This does not equal 26, so it is not the correct pair)
Option d: (7, -3)
3(7) - 4(-3) = 21 + 12 = 33 (This does not equal 26, so it is not the correct pair)
It appears that none of the given options is the correct ordered pair for the equation 3x - 4y = 26.