Solve the following system. (use (x, y) format in a single answer space.)
x2 + y2 = 25
y2 - x2 = 7
the solution set is

(3;4); (-3;-4); (3;-4); (-3;4)

Step-by-step explanation:

for more information see the attached picture.

 The required solution set is

(x, y) = (3, 4), (-3, 4), (3, -4) and (-3, -4).

Step-by-step explanation:  We are given to solve the following system :

We will be using the method of Elimination to solve the problem.

Adding equations (i) and (ii), we have

From equation (ii), we get

Thus, the required solution set is

(x, y) = (3, 4), (-3, 4), (3, -4) and (-3, -4).