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x+7 = 10 x+7 = y ()^2 (x,y) Which ordered pair is a solution to the given system of equations? (3,100)
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice A is correct. The solution to a system of equations is the ordered pair ^x,yh that satisfies all equations in the system. It’s given by the first equation in +7=10 10 + the system that x . Substituting for x 7 into the second equation 102= =100 yields y, or y . The x-coordinate of the solution to the system of equations can be found by subtracting 7 from both sides of the equation +7=10 = 3,100 x , which yields x 3. Therefore, the ordered pair ^ h is a solution to the given system of equations. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.
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