EasyMath· Algebra· Systems of two linear equations in two variables· MCQ
If is the solution to the given system of equations, what is the value of y ?
A
10
B
15
C
60
D
65
Correct answer: B
Explanation
Choice B is correct. Substituting 20 for in the second equation in the system yields , or . Subtracting 40 from both sides of this equation yields . Dividing both sides of this equation by 3 yields .
Choice A is incorrect. If , then since . However, substituting 10 for both x and y in the second equation yields , which is a false statement. Choice C is incorrect. If , then since . However, substituting these values for x and y in the second equation yields , which is a false statement. Choice D is incorrect. If , then since . However, substituting these values for x and y in the second equation yields , which is a false statement.
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.
id cb_question_bank:afab2cda-c995-4136-970d-d2ed19e66b78 · question cd33b015 · IBN 026034-DC
· JSON