document.write( "Question 258205: x^2+y^2=169
\n" ); document.write( "5x-12y=0 \n" ); document.write( "

Algebra.Com's Answer #190217 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is the solution to an intersection of a circle and a line.
\n" ); document.write( "1. $\"x%5E2%2By%5E2=169\"$
\n" ); document.write( "2. $\"5x-12y=0\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"5x=12y\"$
\n" ); document.write( " $\"25x%5E2=144y%5E2\"$
\n" ); document.write( " $\"x%5E2=%28144%2F25%29y%5E2\"$ }
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( "1. $\"x%5E2%2By%5E2=169\"$
\n" ); document.write( " $\"%28144%2F25%29y%5E2%2By%5E2=169\"$
\n" ); document.write( " $\"144y%5E2%2B25y%5E2=4225\"$
\n" ); document.write( " $\"169y%5E2=4225\"$
\n" ); document.write( " $\"y%5E2=4225%2F169=25\"$
\n" ); document.write( " $\"y=0+%2B-+5\"$
\n" ); document.write( "When $\"y=5\"$ ,
\n" ); document.write( " $\"5x=12y\"$
\n" ); document.write( " $\"x=12\"$
\n" ); document.write( "When $\"y=-5\"$ ,
\n" ); document.write( " $\"x=-12\"$
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