Question

Which system is equivalent to

{3x^2 - 4y^2 = 25
{-6x^2 - 2y^2 = 11

A) 3x^2 - 4y^2 = 25
12x^2 + 4y^2 = 22

B) 3x^2 - 4y^2 = 25
-12x^2 + 4y^2 = 22

C) 6x^2 - 8y^2 = 25
-6x^2 - 2y^2 = 11

D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11

Answer 1

It's D

:) trust me

Answer 2

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

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

Explanation:

We are given the following two expressions:

`3x^2-4y^2=25`

and

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

Now if we look at the option D)
`6x^2 - 8y^2 = 50` and
`-6x^2 - 2y^2 = 11`, we can observe that the earlier part in the given expression is just a simplification of 6x^2 - 8y^2 = 50.

`6x^2 - 8y^2 = 50\\\\2(3x^2-4y^2) = 50\\\\3x^2-4y^2 = (50)/(2) \\\\3x^2-4y^2=25`

and the later part
`-6x^2 - 2y^2 = 11` is already the same.

Therefore, the correct answer option is D) 6x^2 - 8y^2 = 50

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