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Which system is equivalent to 3x^2 - 4y^2 = 25

-6x^2 - 2y^2 = 11


Answer choices available:

A3x^2 - 4y^2 = 25

12x^2 + 4y^2 = 22

B3x^2 - 4y^2 = 25

-12x^2 + 4y^2 = 22

C6x^2 - 8y^2 = 25

-6x^2 - 2y^2 = 11

D6x^2 - 8y^2 = 50

-6x^2 - 2y^2 = 11


As always, thank you for your help!

Verified Answer :

carlosego

For this case we have the following system of equations:

\(3x ^ 2 - 4y ^ 2 = 25

-6x ^ 2 - 2y ^ 2 = 11
\)

We can write a system of equivalent equations.

For this, it is enough to multiply one of the two equations by a scalar.

Multiplying the equation 1 by 2, we have:


\(6x ^ 2 - 8y ^ 2 = 50
\)

Therefore, the new system of equations is:

\(6x ^ 2 - 8y ^ 2 = 50

-6x ^ 2 - 2y ^ 2 = 11
\)

Answer:

A system that is equivalent is:

D) \(6x ^ 2 - 8y ^ 2 = 50

-6x ^ 2 - 2y ^ 2 = 11\)

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