Question #608eeb6e - SAT Suite Question Bank

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Test
Math

Domain
Algebra

Skill
Systems of two linear equations in two variables

Difficulty
Easy

ID: 608eeb6e

Modded SAT Question Bank by Abdullah Mallik

$5 x equals 15$

$- 4 x + y = - 2$

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

$negative 17$
$negative 13$
$13$
$17$

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Correct Answer: C

Rationale

Choice C is correct. Adding the second equation of the given system to the first equation yields $5 x + (- 4 x + y) = 15 + (- 2)$ , which is equivalent to $x + y = 13$ . So the value of $x + y$ is $13$ .

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

Choice B is incorrect. This is the value of $- (x + y)$ .

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

Question Difficulty: Easy

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