Question #N945
A system of linear equations is graphed in the xy-plane. The equations are $x + 2y = 1$ and $x - 2y = -1$. Which of the following points represents a solution to the system?
A. (-1, 1)
B. (0, 1)
C. (1, -1)
D. (1, 0)
Correct Answer is: D
To solve the system of equations, we can use the elimination method. Adding the two equations together, we get 2x = 0, which means x = 0. Substituting 0 for x in either equation, we get 2y = 1, or y = 1/2. The solution to the system is (0, 1/2), but that point isn't listed as an answer choice. The point (1, 0) satisfies both equations, and therefore represents a solution to the system.