document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #608 by longjonsilver(2297) $\"\"$ $\"About$

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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.\r
\n" ); document.write( "\n" ); document.write( "so we have $\"%28x%5E2%29+%2B+%28y%5E2%29+=+25\"$ and $\"x%5E2+-+3x+%2B+y%5E2+%2B+y+=+30\"$ \r
\n" ); document.write( "\n" ); document.write( "Write these under each other, and subtract. This leaves you with\r
\n" ); document.write( "\n" ); document.write( " $\"%28-3x%29%2By+=+5\"$ or, written more usually $\"y=3x%2B5\"$ \r
\n" ); document.write( "\n" ); document.write( "This is the equation of the straight line that passes through the 2 points of intersection of the 2 curves.\r
\n" ); document.write( "\n" ); document.write( "cheers
\n" ); document.write( "Jon. \n" ); document.write( "

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