Question

Which system is equivalent to
3x²-4y² = 25
?
-6x2-2y² = 11

Answer 1

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