EasyMath· Algebra· Linear equations in one variable· MCQ
How many solutions exist to the equation shown above?
A
None
B
Exactly 1
C
Exactly 3
D
Infinitely many
Correct answer: B
Explanation
Choice B is correct. Subtracting 4 from each side of the given equation yields , or , so the equation has a unique solution of .
Choice A is incorrect. Since 3 is a value of x that satisfies the given equation, the equation has at least 1 solution. Choice C is incorrect. Linear equations can have 0, 1, or infinitely many solutions; no linear equation has exactly 3 solutions. Choice D is incorrect. If a linear equation has infinitely many solutions, it can be reduced to . This equation reduces to , so there is only 1 solution.
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id cb_question_bank:77004eb2-52b1-431b-8d22-9fe73211d2af · question 550b352c · IBN 020349-DC
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