Question

solve the following system use (x,y) format in a single answer space x^2+y^2=25 y^2-x^2=7 the solution set is

Answer 1

Hello :
x²+y²=25 ...(1)
y²-x²=7...(2)
(1)+(2) : 2y² = 32
y² = 16
y² = 4²
y =4 or y = -4
if : y= 4   subsct in (1) : x² +16 =25
x² =9
x =3 or x = -3 
if : y = - 4    same solutions : x =3 or x = -3 
the systeme are 4 solutions :    (3,4), (-3, 4),(3,-4) , (-3,-4)...( (x,y) format)

Answer 2

X=3 and y=4...hope it will help you