Question how-ma
How many solutions exist to the equation shown above?
None
Exactly 1
Exactly 3
Infinitely many
How many solutions exist to the equation shown above?
Easy-difficulty · SAT Math · Linear Equations in One Variable — Variables on both sides. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer 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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