QQuestionMathematics
QuestionMathematics
Solve 3x+ 11 =k for x.
A. x= k−11 / 3
B. x= k+ 11 / 3
C. x= 3k−11 / 3
D. x= k/ 3
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Answer
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Step 1:I'll solve this step-by-step using the precise LaTeX formatting guidelines:
Step 2:: Isolate the variable x by subtracting 11 from both sides of the equation
3x + 11 = k
3x = k - 11
Step 3:: Divide both sides by 3 to solve for x
x = \frac{k - 11}{3}
Step 4:: Simplify the fraction
x = \frac{k}{3} - \frac{11}{3}
Step 5:: Rearrange to match the given options
x = \frac{k - 11}{3}
Final Answer
Key Verification: - We started with the original equation 3x + 11 = k - Subtracted 11 from both sides - Divided by 3 - Simplified to x = \frac{k - 11}{3} The solution directly matches option A, which confirms our algebraic manipulation.
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