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Algebra
/ Systems of two linear equations in two variables
Difficulty: Medium
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The system of equations above has solution (x, y). What is the value of x ?
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Explanation
Choice D is correct. Adding the corresponding sides of the two equations eliminates y and yields 
, as shown.
If (x, y) is a solution to the system, then (x, y) satisfies both equations in the system and any equation derived from them. Therefore, .
Choices A, B, and C are incorrect and may be the result of errors when solving the system.