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Algebra
/ Systems of two linear equations in two variables
Difficulty: Medium
If the system of equations above has solution , what is the value of
?
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Explanation
Choice C is correct. Adding the given equations yields 9x + 9y = 162. Dividing each side of the equation 9x + 9y = 162 by 9 gives x + y = 18.
Choice A is incorrect and may result from incorrectly adding the equations. Choice B is incorrect and may result from conceptual or computational errors. Choice D is incorrect. This value is equivalent to y – x.