Answer:
The correct answer is the second option: (-1,-2).
Explanation:
To solve the system of equations:
2x - 4y = 6
2x + 4y = -10
We can use the method of elimination to eliminate one of the variables. Adding the two equations, we get:
4x = -4
Solving for x, we get:
x = -1
Substituting x = -1 in the first equation, we get:
2(-1) - 4y = 6
Simplifying, we get:
-2 - 4y = 6
Subtracting 2 from both sides, we get:
-4y = 8
Dividing by -4 on both sides, we get:
y = -2
Therefore, the solution to the system of equations is (-1, -2). So, the correct answer is (2nd option): (-1, -2).