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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
What is the solution to the equation above?
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Explanation
Choice B is correct. Since 
is equivalent to 1, the right-hand side of the given equation can be rewritten as 
, or 
. Since the left- and right-hand sides of the equation 
have the same denominator, it follows that 
. Applying the distributive property of multiplication to the expression 
yields 
, or 
. Therefore, 
. Subtracting x and 2 from both sides of this equation yields 
.
Choices A, C, and D are incorrect. If 
, then 
. This can be rewritten as 
, which is a false statement. Therefore, 0 isn’t a solution to the given equation. Substituting 3 and 5 into the given equation yields similarly false statements.