document.write( "Question 869409: 2x+y=3
\n" ); document.write( "x^2+y^2+4y=6 \n" ); document.write( "

Algebra.Com's Answer #524181 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"2x%2By=3\"$
\n" ); document.write( "2. $\"x%5E2%2By%5E2%2B4y=6\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"y=-2x%2B3\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"x%5E2%2B%28-2x%2B3%29%5E2%2B4%28-2x%2B3%29=6\"$
\n" ); document.write( " $\"x%5E2%2B%284x%5E2-12x%2B9%29-8x%2B12=6\"$
\n" ); document.write( " $\"5x%5E2-20x-15=0\"$
\n" ); document.write( " $\"x%5E2-4x-3=0\"$
\n" ); document.write( " $\"%28x-3%29%28x-1%29=0\"$
\n" ); document.write( "Two solutions,
\n" ); document.write( " $\"x-3=0\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=-2%283%29%2B3\"$
\n" ); document.write( " $\"y=-6%2B3\"$
\n" ); document.write( " $\"y=-3\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x-1=0\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=-2%281%29%2B3\"$
\n" ); document.write( " $\"y=1\"$
\n" ); document.write( "(3,-3) and (1,1)
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