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Systems of two linear equations in two variables SAT question

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

{x + 2 y = 6 x - 2 y = 4

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

ExplanationShow

Choice B is correct. Adding the first equation to the second equation in the given system yields $(x + 2 y) + (x - 2 y) = 6 + 4$ , or $(x + x) + (2 y - 2 y) = 10$ . Combining like terms in this equation yields $2 x = 10$ . Dividing both sides of this equation by $2$ yields $x = 5$ . Thus, the value of $x$ is $5$ .

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. This is the value of $2 x$ , not $x$ .

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Systems of two linear equations in two variables SAT question

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