SOLUTION: {X^2+y^2=100 {y-x=2 It's a linear-quadratic system :/

Algebra ->  Linear-equations -> SOLUTION: {X^2+y^2=100 {y-x=2 It's a linear-quadratic system :/      Log On


   

Question 905206: {X^2+y^2=100
{y-x=2
It's a linear-quadratic system :/
Answer by Math_Boss(45) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2=100-x%5E2
y=%282%2Bx%29
Substitute (2+x)
%282%2Bx%29%5E2=100-x%5E2
4%2B4x%2Bx%5E2=100-x%5E2
2x%5E2%2B4x-96=0
Divide by 2
x%5E2%2B2x-48=0
x=6
x=-8
y=2%2B6=8
y=2%2B%28-8%29=-6
Ans:(6,8) and (-8,-6)
You can also graph it.