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

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) (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 and
Write these under each other, and subtract. This leaves you with
or, written more usually
This is the equation of the straight line that passes through the 2 points of intersection of the 2 curves.
cheers
Jon.
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