Q. Which ordered pair is a solution of the equation?−3x−y=6Choose 1 answer:(A) Only (−4,4)(B) Only (−3,3)(C) Both (−4,4) and (−3,3)(D) Neither
Problem Understanding: Understand the problem.We need to determine which ordered pair(s) satisfy the equation \(-3x-y=6").
Checking Option (A): Substitute the x and y values from option (A) into the equation.For the ordered pair (−4,4), substitute x=−4 and y=4 into the equation −3x−y=6 and check if the equation holds true.−3(−4)−4=612−4=68=6This is not true, so option (A) is not a solution.
Checking Option (B): Substitute the x and y values from option (B) into the equation.For the ordered pair (−3,3), substitute x=−3 and y=3 into the equation −3x−y=6 and check if the equation holds true.−3(−3)−3=69−3=66=6This is true, so option (B) is a solution.
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) and (−3,3)" cannot be correct because (−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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