SOLUTION: Solve this system: X^2+y^2=17 x-4y=0 List the solutions in an orders pair. If there are no solutions, write "none".

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Solve this system: X^2+y^2=17 x-4y=0 List the solutions in an orders pair. If there are no solutions, write "none".      Log On


   

Question 874033: Solve this system:
X^2+y^2=17
x-4y=0
List the solutions in an orders pair. If there are no solutions, write "none".
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%5E2%2By%5E2=17
2.x-4y=0
From eq. 2,
x=4y
Substitute into eq. 1,
%284y%29%5E2%2By%5E2=17
16y%5E2%2By%5E2=17
17y%5E2=17
y%5E2=1
y=0+%2B-+1
When y=1, x=4
When y=-1,x=-4
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