MediumMath· Algebra· Systems of two linear equations in two variables· MCQ
In the xy-plane, the graph of intersects the graph of at the point . What is the value of a ?
A
3
B
6
C
9
D
12
Correct answer: C
Explanation
Choice C is correct. Since the graph of intersects the graph of at the point , the ordered pair is the solution to the system of linear equations consisting of and , and the value of a is the value of x in the solution of this system. Since both and are equal to y, it follows that . Subtracting x from and adding 6 to both sides of the equation yields . Therefore, the value of a is 9.
Choices A and B are incorrect and may result from a calculation or conceptual error in solving the system of equations consisting of and . Choice D is incorrect. This is the value of b, not a.
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id cb_question_bank:5af44444-11dc-4839-a265-67aabb0d15ad · question 19fdf387 · IBN 14931-DC
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