Final answer:
The solution is x = 0 and y = 0. To solve the system of equations using elimination, multiply the first equation by 2 and add it to the second equation. Then solve for x and substitute that value back to solve for y.
Step-by-step explanation:
To solve the system of equations using elimination, we can multiply the first equation by 2 and add it to the second equation. This will eliminate the y variable.
Equation 1: -2x - y = 0
Equation 2: 0 = 0
Multiplying Equation 1 by 2: -4x - 2y = 0
Adding the two equations together: -6x - 3y = 0
Now we can solve for x:
-6x - 3y = 0
-6x = 0
x = 0
Since x = 0, we can substitute this value back into either Equation 1 or Equation 2 to solve for y:
-2(0) - y = 0
-y = 0
y = 0
Therefore, the solution to the system of equations is x = 0 and y = 0.