sat suite question viewer
Which ordered pair is a solution to the given system of equations?
Explanation
Choice B is correct. The second equation in the given system is . Substituting for in the first equation of the given system yields . Subtracting from both sides of this equation yields . Subtracting from both sides of this equation yields . Factoring out a common factor of from the left-hand side of this equation yields . It follows that or . Dividing both sides of the equation by yields . Substituting for in the equation yields , or . Therefore, a solution to the given system of equations is the ordered pair .
Choice A 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.