Answer:
D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11
Step-by-step explanation:
We are given the following two expressions:
[tex]3x^2-4y^2=25[/tex]
and
[tex]-6x^2-2y^2=11[/tex]
Now if we look at the option D) [tex]6x^2 - 8y^2 = 50
[/tex] and [tex]-6x^2 - 2y^2 = 11[/tex], we can observe that the earlier part in the given expression is just a simplification of 6x^2 - 8y^2 = 50.
[tex]6x^2 - 8y^2 = 50\\\\2(3x^2-4y^2) = 50\\\\3x^2-4y^2 = \frac{50}{2} \\\\3x^2-4y^2=25[/tex]
and the later part [tex]-6x^2 - 2y^2 = 11[/tex] is already the same.
Therefore, the correct answer option is D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11.
