What are the solutions of the following system 10x^2 - y = 48 2y = 16x^2 + 48

The Correct answer is C. (6, 312) and (–6, 312)

Given the following system:    and

we can write it as:

               .......[1]

Substitute this in equation   we get;

or

Subtract from both sides of an equation:

or

or

Simplify:

⇒ x = 6 , -6

Now, substituting these x values in equation [1];

for x =6

or

=360-48 = 312

Similarly for, x = -6

or

=360-48 = 312

So, we have the solution of the given following system; (6,312) and (-6,312).

Also shown in graph below;

equal to

step-by-step explanation: