SOLUTION: x^2+y^2=169 5x-12y=0

Algebra ->  Equations -> SOLUTION: x^2+y^2=169 5x-12y=0      Log On


   

Question 258205: x^2+y^2=169
5x-12y=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
This is the solution to an intersection of a circle and a line.
1.x%5E2%2By%5E2=169
2.5x-12y=0
From eq. 2,
5x=12y
25x%5E2=144y%5E2
x%5E2=%28144%2F25%29y%5E2}
Substitute into eq. 1,
1.x%5E2%2By%5E2=169
%28144%2F25%29y%5E2%2By%5E2=169
144y%5E2%2B25y%5E2=4225
169y%5E2=4225
y%5E2=4225%2F169=25
y=0+%2B-+5
When y=5,
5x=12y
x=12
When y=-5,
x=-12
.
.
.