X2 + y2 = 13
x2 - y2 = 5
check all of the following that are solutions to the system shown.

a. (3, 2)
b. (3, -2)
c. (-3, 2)
d. (-3, -2)

(3,2),(3,-2),(-3,2),(-3,-2)

Step-by-step explanation:

The given system of equations is

Add equations (i) and (ii) is

Solve the equation for x. For this divide both sides by 2

Take square root both sides

For x = 3, -3

Therefore, the solutions are

(3,2),(3,-2),(-3,2),(-3,-2)

Therefore, all the points are the solutions of the system of equations.

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