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Systems of two linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

{x = 10 y = x + 21

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

ExplanationShow

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.

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