Which of the following ordered pairs (j, k) is the solution to the system of equations above?
A. (6, -6)
B. (3, 0)
C. (0, 2)
D. (-4, 1)
Answer:A
Which of the following ordered pairs (j, k) is the solution to the system of equations above?
A. (6, -6) B. (3, 0) C. (0, 2) D. (-4, 1)
Explanation: A Whenever there are variables in the question and numbers in the answer choices, think Plugging In the Answers. In (A), j = 6, and k = -6. Plug these two values into the first equation to get -24 - 8(6) = 12(-6). Solve for both sides of the equation to get -24 - 48 = -72, or -72 = -72. Therefore, the values work for the first equation. Plug the values into the second equation to get 3 + (-6) = - (6). Solve both sides of the equation to get 3 + (-10) = -7, or -7 = -7. Since the values given in (A) work in both equations, the correct answer is (A).