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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
Choice D is correct. Multiplying the second equation in the given system by yields . Adding this equation to the first equation in the system yields , which is equivalent to , or . Therefore, the value of is .
Choice A is incorrect. This is the value of , not the value of .
Choice B is incorrect. This is the value of , not the value of .
Choice C is incorrect. This the value of , or , not the value of .