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Which ordered pair is a solution of the equation?

-3x-y=6
Choose 1 answer:
(A) Only 
(-4,4)
(B) Only 
(-3,3)
(c) Both 
(-4,4) and 
(-3,3)
(D) Neither

Which ordered pair is a solution of the equation?\newline3xy=6-3x-y=6\newlineChoose 11 answer:\newline(A) Only (4,4)(-4,4)\newline(B) Only (3,3)(-3,3)\newline(C) Both (4,4)(-4,4) and (3,3)(-3,3)\newline(D) Neither

Full solution

Q. Which ordered pair is a solution of the equation?\newline3xy=6-3x-y=6\newlineChoose 11 answer:\newline(A) Only (4,4)(-4,4)\newline(B) Only (3,3)(-3,3)\newline(C) Both (4,4)(-4,4) and (3,3)(-3,3)\newline(D) Neither
  1. Problem Understanding: Understand the problem.\newlineWe need to determine which ordered pair(s) satisfy the equation \(-3x-y=66").
  2. Checking Option (A): Substitute the xx and yy values from option (A) into the equation.\newlineFor the ordered pair (4,4)(-4,4), substitute x=4x = -4 and y=4y = 4 into the equation 3xy=6-3x-y=6 and check if the equation holds true.\newline3(4)4=6-3(-4) - 4 = 6\newline124=612 - 4 = 6\newline8=68 = 6\newlineThis is not true, so option (A) is not a solution.
  3. Checking Option (B): Substitute the xx and yy values from option (B) into the equation.\newlineFor the ordered pair (3,3)(-3,3), substitute x=3x = -3 and y=3y = 3 into the equation 3xy=6-3x-y=6 and check if the equation holds true.\newline3(3)3=6-3(-3) - 3 = 6\newline93=69 - 3 = 6\newline6=66 = 6\newlineThis is true, so option (B) is a solution.
  4. Conclusion: Since we have already found that option (A) is not a solution and option (B) is a solution, we can conclude that option (C) "Both (4,4)(-4,4) and (3,3)(-3,3)" cannot be correct because (4,4)(-4,4) does not satisfy the equation. Therefore, we do not need to check option (D) "Neither" because we have a valid solution with option (B).

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