document.write( "Question 430714: If anyone could please help me to solve these four problems it would be awesome! I am extremely lost. Please help! Thanks!! They use the Substituion Method & Addition Method. I can't figure out the solution sets. Thank you!\r
\n" ); document.write( "\n" ); document.write( "#1 Substituion Method:
\n" ); document.write( "\"x%2By=1\"
\n" ); document.write( "\"x%5E2%2Bxy-y%5E2=-11\"\r
\n" ); document.write( "\n" ); document.write( "#2 Substituion Method:
\n" ); document.write( "\"x%5E2%2By%5E2=180\"
\n" ); document.write( "\"x-y=-6\"\r
\n" ); document.write( "\n" ); document.write( "#3 Addition Method:
\n" ); document.write( "\"2x%5E2%2B3y%5E2-30=0\"
\n" ); document.write( "\"5x%5E2-7y%5E2-17=0\"\r
\n" ); document.write( "\n" ); document.write( "#4 Addition Method:
\n" ); document.write( "\"x%5E2%2By%5E2=16\"
\n" ); document.write( "\"y%5E2-3x=16\"
\n" ); document.write( "

Algebra.Com's Answer #299068 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
#1 Substituion Method:
\n" ); document.write( "\"x%2By=1\" --> y = 1-x
\n" ); document.write( "\"x%5E2%2Bxy-y%5E2=-11\"
\n" ); document.write( "\"x%5E2%2Bx%281-x%29+-+%281-x%29%5E2=-11\"
\n" ); document.write( "\"x%5E2+%2B+x+-+x%5E2+-1+%2B+2x+-+x%5E2+=+-11\"
\n" ); document.write( "\"-x%5E2+%2B+3x+-1+=+-11\"
\n" ); document.write( "\"x%5E2+-+3x+%2B+10+=+0\"
\n" ); document.write( "(x-5)*(x+2) = 0
\n" ); document.write( "x = -2, y = 3 (-2,3)
\n" ); document.write( "--------------
\n" ); document.write( "x = 5, y = -4 (5,-4)
\n" ); document.write( "-----------------------
\n" ); document.write( "-----------------------
\n" ); document.write( "#2 Substituion Method:
\n" ); document.write( "\"x%5E2%2By%5E2=180\"
\n" ); document.write( "\"x-y=-6\"
\n" ); document.write( "Similar to #1
\n" ); document.write( "-------------------
\n" ); document.write( "#3 Addition Method:
\n" ); document.write( "\"2x%5E2%2B3y%5E2-30=0\"
\n" ); document.write( "\"5x%5E2-7y%5E2-17=0\"
\n" ); document.write( "\"10x%5E2+%2B+15y%5E2+=+150\" 1st eqn x 5
\n" ); document.write( "\"10x%5E2+-+14y%5E2+=+34\" 2nd eqn x 2
\n" ); document.write( "------------------------- Subtract
\n" ); document.write( "\"29y%5E2+=+116\"
\n" ); document.write( "\"y%5E2+=+4\"
\n" ); document.write( "y = +2, -2
\n" ); document.write( "Sub for y, find x
\n" ); document.write( "There are 4 intersections
\n" ); document.write( "------------------
\n" ); document.write( "------------------
\n" ); document.write( "#4 Addition Method:
\n" ); document.write( "\"x%5E2%2By%5E2=16\"
\n" ); document.write( "\"y%5E2-3x=16\"
\n" ); document.write( "Similar to #3, just subtract to eliminate y^2 terms
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