Answer:
[tex]x^{2}[/tex] = 10 + [tex]\frac{36}{10}[/tex] [tex]y^{2}[/tex]
The correct answer choice is A.
Step-by-step explanation:
10 [tex]x^{2}[/tex] - 36 [tex]y^{2}[/tex] = 100
By isolation 10 [tex]x^{2}[/tex] you are adding 36 [tex]y^{2}[/tex] to both sides.
With this step we are left with this result:
10 [tex]x^{2}[/tex] = 100 + 36 [tex]y^{2}[/tex]
Finally, we can simplify the equation further by dividing all terms by the coefficient 10, since it was what [tex]x^{2}[/tex] was multiplied by.
[tex]x^{2}[/tex] = 10 + [tex]\frac{36}{10}[/tex] [tex]y^{2}[/tex]
