Final answer:
The system -6x^2 - 2y^2 = 11 is equivalent to 3x^2 - 4y^2 = 25.
Step-by-step explanation:
The system -6x^2 - 2y^2 = 11 is equivalent to 3x^2 - 4y^2 = 25.
To see this, we can multiply both sides of the equation by -1:
-1(3x^2 - 4y^2) = -1(25)
-3x^2 + 4y^2 = -25
Now, if we multiply both sides by -1 again, we get:
-1(-3x^2 + 4y^2) = -1(-25)
6x^2 - 2y^2 = 25
This shows that the system -6x^2 - 2y^2 = 11 is equivalent to 3x^2 - 4y^2 = 25.
Learn more about equivalent systems of equations