MediumMath· Algebra· Linear equations in one variable· MCQ
In the given equation, b is a constant. If the equation has no solution, what is the value of b ?
A
2
B
4
C
6
D
10
Correct answer: A
Explanation
Choice A is correct. This equation has no solution when there is no value of x that produces a true statement. Solving the given equation for x by dividing both sides by gives . When , the right-hand side of this equation will be undefined, and the equation will have no solution. Therefore, when , there is no value of x that satisfies the given equation.
Choices B, C, and D are incorrect. Substituting 4, 6, and 10 for b in the given equation yields exactly one solution, rather than no solution, for x. For example, substituting 4 for b in the given equation yields , or . Dividing both sides of by 2 yields . Similarly, if or , and , respectively.
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id cb_question_bank:3884e6ef-9feb-4172-a182-a388bc3c2a5b · question 12ee1edc · IBN 027743-DC
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