SOLUTION: Please help me!! Find the equation of the circle passing through the point (-1,1) and having the centre on the point of intersection of the lines x + 3y + 7 = 0 and 3*x - 2*y -1

Algebra ->  Circles -> SOLUTION: Please help me!! Find the equation of the circle passing through the point (-1,1) and having the centre on the point of intersection of the lines x + 3y + 7 = 0 and 3*x - 2*y -1      Log On


   

Question 800479: Please help me!!
Find the equation of the circle passing through the point (-1,1) and having the centre on the point of intersection of the lines x + 3y + 7 = 0 and 3*x - 2*y -12 = 0.
Please help me!! Thanks!
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Find the center of the circle by solving for x & y
1 x + 3 y = -7 .............1
Total value
3 x -2 y = 12 .............2
Eliminate y
multiply (1)by 2
Multiply (2) by 3
2 x 6 y = -14
9 x -6 y = 36
Add the two equations
11 x = 22
/ 11
x = 2
plug value of x in (1)
1 x + 3 y = -7
2 + 3 y = -7
3 y = -7 -2
3 y = -9
y = -3
center (2,-3)
point(-1,1)
Frame the equation