Question

ASAP need answer to this system of equations... ILL give brainliest to correct answers only

Answer 1

Answer:

(7,12),(-12,-7)

Step-by-step explanation:

x^2 + y^2 = 193

x - y = - 5

x = y - 5

(y - 5)^2 + y^2 = 193

y^2 - 10y + 25 + y^2 = 193

2y^2 - 10y + 25 = 193

2y^2 - 10y + 25 - 193 = 0

2y^2 - 10y - 168 = 0

2*(y^2 - 5y - 84) = 0     This factors into

2*( y - 12) (y + 7) = 0

y = 12    

in which case x = 12 - 5 = 7

y = - 7

in which case x = -7 - 5 = - 12