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Algebra
/ Systems of two linear 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 the second equation to the first equation in the given system of equations yields , or . Dividing both sides of this equation by yields . Substituting for in the first equation, , yields, or . Subtracting from both sides of this equation yields . Dividing both sides of this equation by yields . Substituting for and for in the expression yields , or . Therefore, the value of is .