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Systems of two linear equations in two variables SAT question

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

$y = 4 x - 9$
$y = 19$

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

ExplanationShow

Choice B is correct. It's given by the second equation in the system that $y = 19$ . Substituting $19$ for $y$ in the first equation yields $19 = 4 x - 9$ . Adding $9$ to both sides of this equation yields $28 = 4 x$ . Dividing both sides of this equation by $4$ yields $7 = x$ . Therefore, since $x = 7$ and $y = 19$ , the solution $(x, y)$ to the given system of equations is $(7, 19)$ .

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 and may result from conceptual or calculation errors.

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Systems of two linear equations in two variables SAT question

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