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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 B is correct. Adding the first equation to the second equation in the given system yields , or . Combining like terms in this equation yields . Dividing both sides of this equation by yields . Thus, the value of is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect. This is the value of , not .