Question #N730
What is the solution to the system of equations $\begin{cases} x - 2y = 6 \\ x + 2y = 4 \end{cases}$ ?
A. (5, -1/2)
B. (5, -1)
C. (5, 1/2)
D. (5, 1)
Correct Answer is: D
Adding the two equations together eliminates y, resulting in 2x = 10. Dividing both sides by 2 gives x = 5. Substituting 5 for x in the first equation gives 5 - 2y = 6. Subtracting 5 from both sides gives -2y = 1. Dividing both sides by -2 gives y = -1/2. Therefore, the solution to the system is (5, -1/2).