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What is the solution set for 6x−9=15, given the replacement set {0, 1, 2, 3, 4}?

A. x=4
B. x=3
C. x =2
D. x=1

1 Answer

5 votes

Final answer:

The solution set for the equation 6x-9=15 is x=4, since it's the only value in the replacement set that satisfies the equation.

Step-by-step explanation:

The question asks for the solution set for the equation 6x−9=15, with the replacement set being {0, 1, 2, 3, 4}. To find the solution, we first isolate the variable x by adding 9 to both sides of the equation, getting 6x = 24. Then, we divide both sides by 6, which gives us x = 4. Therefore, the correct answer from the given options is A. x=4, since 4 is the only value that satisfies the equation when substituted for x.

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