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