Question #8a87c2c8 - SAT Suite Question Bank

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Test
Math

Domain
Algebra

Skill
Systems of two linear equations in two variables

Difficulty
Medium

ID: 8a87c2c8

Modded SAT Question Bank by Abdullah Mallik

$x + 3 = - 2 y + 5$

$x - 3 = 2 y + 7$

The solution to the given system of equations is $(x, y)$ . What is the value of $2 x$ ?

$negative 2$
$6$
$12$
$24$

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Correct Answer: C

Rationale

Choice C is correct. Adding the second equation in the given system to the first equation in the given system yields $(x + 3) + (x - 3) = (- 2 y + 5) + (2 y + 7)$ . Adding like terms in this equation yields $2 x equals 12$ . Thus, the value of $2 x$ is $12$ .

Choice A is incorrect. This is the value of $y$ , not $2 x$ .

Choice B is incorrect. This is the value of $x$ , not $2 x$ .

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

Question Difficulty: Medium

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