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Algebra / Systems of two linear equations in two variables Difficulty: Easy

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 ?

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Explanation

Choice C is correct. Adding the second equation of the given system to the first equation yields 5x+-4x+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.