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Systems of two linear equations in two variables SAT question

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

{5 x = 15 - 4 x + y = - 2

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

ExplanationShow

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.

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