Solve the following system. (Use (x,y) format in a single answer space.)
x² + y² = 25 and y² - x² = 7

Solution:

Rearranging the the two given equations, we have

x² + y² = 25 --- (1)

- x² + y² = 7--- (2)

Adding the two equations

x² + y² = 25
-x² + y² = 7
----------------
0 + 2y² = 32

2y² = 32

y² = 16

y = ±4

Substituting the value of y in either (1) or (2) we obtain the value of x as:

x = ±3

The solution of the system of equations is (±3, ±4)

Solve the following system. (Use (x,y) format in a single answer space.)
x² + y² = 25 and y² - x² = 7

Summary:

The solution of the system of equations x² + y² = 25 and y² - x² = 7 is (±3, ±4).