Use the addition method to solve the system below x2y225 x2y

Use the addition method to solve the system below x²+y²=25 x²-y²=25

X^2+Y^2=25 ..... (1)

X^2-Y^2=25...... (2)

ADD (1) AND(2) ,WE GET

2X^2=50

X^2=25

X=5,-5

AT X=5

PUT IN (1),WE GET (5)^2+Y^2=25

25+Y^2=25

Y=0

AT X=-5

PUT IN(1),WE GET

(-5)^2+Y^2=25

25+Y^2=25

Y=0

HENCE X=5,-5 AND Y=0