Question

Which system is equivalent to startlayout enlarged left-brace 1st row 5 x squared 6 y squared = 50 2nd row 7 x squared 2 y squared = 10 endlayout? startlayout enlarged left-brace 1st row 5 x squared 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 10 endlayout startlayout enlarged left-brace 1st row 5 x squared 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 30 endlayout startlayout enlarged left-brace 1st row 35 x squared 42 y squared = 250 2nd row negative 35 x squared minus 10 y squared = negative 50 endlayout startlayout enlarged left-brace 1st row 35 x squared 42 y squared = 350 2nd row negative 35 x squared minus 10 y squared = negative 50 endlayout

Answer 1

The given system of equations can be solved using the method of elimination. The solution is x = ±√5 and y = ±√(25/6).

Step-by-step explanation:

The given system of equations is:

5x^2 + 6y^2 = 50,

7x^2 - 6y^2 = 10.

We can solve this system by using the method of substitution or elimination.

Let's solve it using the method of elimination: