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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Easy
Which ordered pair is a solution to the given system of equations?
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Explanation
Choice A is correct. The solution to a system of equations is the ordered pair that satisfies all equations in the system. It's given by the first equation in the system that . Substituting for into the second equation yields , or . The x-coordinate of the solution to the system of equations can be found by subtracting from both sides of the equation , which yields . Therefore, the ordered pair 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.