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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 . The first equation in the given system of equations defines as . Substituting for in the second equation in the given system of equations yields . Applying the distributive property on the left-hand side of this equation yields . Subtracting from each side of this equation yields . Subtracting from each side of this equation yields . Substituting for in the first equation of the given system of equations yields , or . Substituting for and for into the expression yields , or .