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Which statement about the ordered pairs (2, −9) and (3, −6) is true for the equation 5x−y3=13?

-both ordered pairs are solutions.
-both ordered pairs are solutions.
-neither ordered pair is a solution.
-neither ordered pair is a solution.

User Moonpatrol
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1 Answer

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Final answer:

Upon substitution, neither (2, -9) nor (3, -6) satisfy the equation 5x - y = 13; thus, neither ordered pair is a solution.

Step-by-step explanation:

The given equation seems to have a typo, but assuming it is meant to be 5x - y = 13, we can test each ordered pair to see if it is a solution.

To check the ordered pair (2, -9), substitute x = 2 and y = -9 into the equation:

  • 5(2) - (-9) = 10 + 9 = 19 ≠ 13

Therefore, (2, -9) is not a solution.

To check the ordered pair (3, -6), substitute x = 3 and y = -6 into the equation:

  • 5(3) - (-6) = 15 + 6 = 21 ≠ 13

Therefore, (3, -6) is not a solution either.

Thus, the statement that is true for the ordered pairs (2, −9) and (3, −6) in relation to the equation 5x - y = 13 is that neither ordered pair is a solution.

User Sousheel
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