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

4 x plus 5 y, equals 100, 
and, 
5 x plus 4 y, equals 62

If the system of equations above has solution the ordered pair x comma y , what is the value of x plus y ?

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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 yx.