SOLUTION: find an equation for the line that passes through the points of intersection of the circles x^2+y^2=25, and x^2-3x+y^2+y=30 can you explain all the steps thanks

Algebra ->  Systems-of-equations -> SOLUTION: find an equation for the line that passes through the points of intersection of the circles x^2+y^2=25, and x^2-3x+y^2+y=30 can you explain all the steps thanks      Log On


   

Question 1783: find an equation for the line that passes through the points of intersection of the circles x^2+y^2=25, and x^2-3x+y^2+y=30 can you explain all the steps thanks
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
the points where 2 or more equations (lines or curves) meet are the roots of the equations...you put the 2 equations equal to each other, because at these points, they are "equal"...they cross.
so we have %28x%5E2%29+%2B+%28y%5E2%29+=+25 and x%5E2+-+3x+%2B+y%5E2+%2B+y+=+30
Write these under each other, and subtract. This leaves you with
%28-3x%29%2By+=+5 or, written more usually y=3x%2B5
This is the equation of the straight line that passes through the 2 points of intersection of the 2 curves.
cheers
Jon.