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Algebra
/ Systems of two linear equations in two variables
Difficulty: Medium
The solution to the given system of equations is . What is the value of ?
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Explanation
The correct answer is . The given system of equations can be solved by the substitution method. The first equation in the given system of equations is . Substituting for in the second equation in the given system yields . Adding to both sides of this equation yields . Adding to both sides of this equation yields . Multiplying both sides of this equation by yields .