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

x = 10

y = x + 21

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

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Explanation

Choice D is correct. It's given by the first equation in the given system of equations that x = 10 . Substituting 10 for x in the second equation in the given system yields y=10+21, or y = 31 . Therefore, the value of y is 31 .

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

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

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