MediumMath· Algebra· Linear equations in one variable· MCQ
If x is the solution to the equation above, what is the value of ?
A
B
C
D
Correct answer: B
Explanation
Choice B is correct. Because 2 is a factor of both and 6, the expression can be rewritten as . Substituting for on the left-hand side of the given equation yields , or . Subtracting from both sides of this equation yields . Adding 11 to both sides of this equation yields . Dividing both sides of this equation by 2 yields .
Alternate approach: Distributing 3 to the quantity on the left-hand side of the given equation and distributing 4 to the quantity on the right-hand side yields , or . Subtracting from both sides of this equation yields . Adding 29 to both sides of this equation yields . Dividing both sides of this equation by 2 yields . Therefore, the value of is , or .
Choice A is incorrect. This is the value of x, not . Choices C and D are incorrect. If the value of is or , it follows that the value of x is or , respectively. However, solving the given equation for x yields . Therefore, the value of can’t be or .
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id cb_question_bank:31b4c1a7-5ea6-4a6c-b9d8-6ff4bb024c50 · question 7a5a74a6 · IBN 028955-DC
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