document.write( "Question 372608: Using Substition method find all solutions of the system of equations.\r
\n" ); document.write( "\n" ); document.write( " x^2+y^2=25 , y=2x
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Algebra.Com's Answer #265408 by Fombitz(32388) $\"\"$ $\"About$

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The intersection of a line and a circle,
\n" ); document.write( "1. $\"+x%5E2%2By%5E2=25\"$
\n" ); document.write( "2. $\"+y=2x\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"y%5E2=4x%5E2\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"x%5E2%2B4x%5E2=25\"$
\n" ); document.write( " $\"5x%5E2=25\"$
\n" ); document.write( " $\"x%5E2=5\"$
\n" ); document.write( " $\"x=0+%2B-+sqrt%285%29\"$
\n" ); document.write( "Now solve for $\"y\"$
\n" ); document.write( "When $\"x=sqrt%285%29\"$ , $\"y=2x=2%2Asqrt%285%29\"$ \r
\n" ); document.write( "\n" ); document.write( "When $\"x=-sqrt%285%29\"$ , $\"y=-2%2Asqrt%285%29\"$
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