Which ordered pair is a solution to the system of equations above?

Question

Accepted Answer

Choice A is correct. The solution to the given system of equations can be found by solving the first equation for x , which gives , and substituting that value of x into the second equation which gives . Rewriting this equation by adding like terms and expanding gives . Subtracting from both sides of this equation gives . Adding to 2 to both sides of this equation gives . Therefore, it follows that . Substituting for y in the first equation yields . Adding to both sides of this equation yields . Therefore, the ordered pair is a solution to the given system of equations. Choice B is incorrect. Substituting for x and for y in the first equation yields , or , which isn&rsquo;t a true statement. Choice C is incorrect. Substituting for x and for y in the second equation yields , or , which isn&rsquo;t a true statement. Choice D is incorrect. Substituting for x and for y in the second equation yields , or , which isn&rsquo;t a true statement.

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