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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Hard
The solution to the given system of equations is . What is the value of ?
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Explanation
The correct answer is . Adding to both sides of the second equation in the given system yields . Substituting for in the first equation in the given system yields . Subtracting from both sides of this equation yields . Factoring the left-hand side of this equation yields , or . Taking the square root of both sides of this equation yields . Subtracting from both sides of this equation yields . Therefore, the value of is .