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Systems of two linear equations in two variables SAT question

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

{y = 3 x 2 x + y = 12

The solution to the given system of equations is $(x, y)$ . What is the value of $5 x$ ?

ExplanationShow

Choice C is correct. It's given by the first equation in the system that $y = 3 x$ . Substituting $3 x$ for $y$ in the equation $2 x + y = 12$ yields $2 x + 3 x = 12$ , or $5 x = 12$ .

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

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

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

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