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Algebra / Systems of two linear equations in two variables Difficulty: Medium

x + 3 = - 2 y + 5

x - 3 = 2 y + 7

The solution to the given system of equations is x,y. What is the value of 2 x ?

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Explanation

Choice C is correct. Adding the second equation in the given system to the first equation in the given system yields x+3+x-3=-2y+5+2y+7. Adding like terms in this equation yields 2x=12. Thus, the value of 2 x is 12 .

Choice A is incorrect. This is the value of y , not 2 x .

Choice B is incorrect. This is the value of x , not 2 x .

Choice D is incorrect and may result from conceptual or calculation errors.