Question

5 MEDALS help!!!!
What is one of the solutions to the following system of equations?
y2 + x2 = 65
y + x = 7

Answer 1

y2 + x2 = 65
y + x = 7
y + x = 7
x = 7 - y
Substitute into y^2 + x^2 = 65
y^2 + (7 - y)^2 = 65
y^2 + 49 - 14y + y^2 = 65
2y^2 - 14y - 16 = 0
Divide by 2
y^2 - 7y - 8 = 0
(y + 1)(y - 8) = 0
y = -1 or 8.
Substitute into
x + y = 7
x = -1 or 8

I hope this helps. :D

Answer 2

yes thank you so much.

Answer 3

wouldn't it be -8,1?

Answer 4

no I don't think so

Answer 5

@maaryliin you didn't give the person 5 medals