Which ordered pair is a solution to the system of equations above?
Correct answer: A
Explanation
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’t a true statement. Choice C is incorrect. Substituting
for x and
for y in the second equation yields
, or
, which isn’t a true statement. Choice D is incorrect. Substituting
for x and
for y in the second equation yields
, or
, which isn’t a true statement.
Loading…
Searched on YouTube by topic, not by question text. Open this search on YouTube →
SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.