Final answer:
To solve the given system of equations, we can add the two equations together to eliminate the y terms. Dividing both sides by -6 gives the solution x = 4/3. Substituting this value of x back into either of the original equations allows us to solve for y, giving the solution y = -2.
Step-by-step explanation:
To solve the given system of equations:
3x + 2y = 0
-3x - 2y = -8
We can add the two equations together to eliminate the y terms:
(3x + 2y) + (-3x - 2y) = 0 + (-8)
-6x = -8
Dividing both sides by -6:
x = -8/-6
Simplifying gives:
x = 4/3
Substituting this value of x back into either of the original equations, we can solve for y:
3(4/3) + 2y = 0
4 + 2y = 0
2y = -4
y = -2