document.write( "Question 1033882: Can you help find the exact solution of these system of equations?
\n" ); document.write( " $\"+y+=+x%5E2+-+6x+%2B+1+\"$
\n" ); document.write( " $\"+y+%2B+2x+=+6+\"$ \n" ); document.write( "

Algebra.Com's Answer #648522 by macston(5194) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( " $\"y%2B2x=6\"$
\n" ); document.write( " $\"y=6-2x\"$
\n" ); document.write( ".
\n" ); document.write( " $\"y=x%5E2-6x%2B1\"$
\n" ); document.write( " $\"6-2x=x%5E2-6x%2B1\"$
\n" ); document.write( " $\"6=x%5E2-4x%2B1\"$
\n" ); document.write( " $\"0=x%5E2-4x-5\"$
\n" ); document.write( " $\"0=%28x-5%29%28x%2B1%29\"$
\n" ); document.write( " $\"x-5=0\"$ $\"OR\"$ $\"x%2B1=0\"$
\n" ); document.write( " $\"x=5\"$ $\"OR\"$ $\"x=-1\"$
\n" ); document.write( ".
\n" ); document.write( "For x=5:
\n" ); document.write( "y+2x=6
\n" ); document.write( "y+2(5)=6
\n" ); document.write( "y+10=6
\n" ); document.write( "y=-4
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\n" ); document.write( "CHECK:
\n" ); document.write( " $\"y=x%5E2-6x%2B1\"$
\n" ); document.write( " $\"-4=%285%29%5E2-6%285%29%2B1\"$
\n" ); document.write( " $\"-4=25-30%2B1\"$
\n" ); document.write( " $\"-4=-5%2B1\"$
\n" ); document.write( " $\"-4=-4\"$
\n" ); document.write( ".
\n" ); document.write( "For x=-1:
\n" ); document.write( "y+2x=6
\n" ); document.write( "y+2(-1)=6
\n" ); document.write( "y-2=6
\n" ); document.write( "y=8
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"y=x%5E2-6x%2B1\"$
\n" ); document.write( " $\"8=%28-1%29%5E2-6%28-1%29%2B1\"$
\n" ); document.write( " $\"8=1%2B6%2B1\"$
\n" ); document.write( " $\"8=8\"$
\n" ); document.write( ".
\n" ); document.write( "ANSWERS: (5,-4) and (-1,8)
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\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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