document.write( "Question 375020: How can I solve the system of equations\r
\n" ); document.write( "\n" ); document.write( "x^2+y^2=100
\n" ); document.write( "3x-y=10 \n" ); document.write( "

Algebra.Com's Answer #266700 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"x%5E2%2By%5E2=100\"$
\n" ); document.write( "2. $\"3x-y=10\"$
\n" ); document.write( "Use substitution,
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"y=3x-10\"$
\n" ); document.write( " $\"y%5E2=9x%5E2-60x%2B100\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"x%5E2%2B9x%5E2-60x%2B100=100\"$
\n" ); document.write( " $\"10x%5E2-60x=0\"$
\n" ); document.write( " $\"10x%28x-6%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"10x=0\"$
\n" ); document.write( " $\"highlight%28x=0%29\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=3%280%29-10\"$
\n" ); document.write( " $\"highlight%28y=-10%29\"$
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\n" ); document.write( " $\"x-6=0\"$
\n" ); document.write( " $\"highlight_green%28x=6%29\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=3%286%29-10\"$
\n" ); document.write( " $\"y=18-10\"$
\n" ); document.write( " $\"highlight_green%28y=8%29\"$
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