document.write( "Question 328418: Can someone please walk me through this?\r
\n" ); document.write( "\n" ); document.write( "Solve the system of equations by substitution for real values of x and y.
\n" ); document.write( "x^2 + y^2 = 58
\n" ); document.write( "y = x^2 - 2\r
\n" ); document.write( "\n" ); document.write( "(_____,_____) (smaller x value)
\n" ); document.write( "(_____,_____) (larger x value)\r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Edgar
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Algebra.Com's Answer #235263 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
1.\"x%5E2+%2B+y%5E2+=+58\"
\n" ); document.write( "2.\"y+=+x%5E2+-+2\"
\n" ); document.write( "From eq. 2,
\n" ); document.write( "\"x%5E2=y%2B2\"
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( "\"y%2B2%2By%5E2=58\"
\n" ); document.write( "\"y%5E2%2By-56=0\"
\n" ); document.write( "\"%28y-7%29%28y%2B8%29=0\"
\n" ); document.write( "Two solutions for y.
\n" ); document.write( "\"y-7=0\"
\n" ); document.write( "\"y=7\"
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\n" ); document.write( "\"y%2B8=0\"
\n" ); document.write( "\"y=-8\"
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\n" ); document.write( ".Now solve for x.
\n" ); document.write( "\"x%5E2=y%2B2\"
\n" ); document.write( "\"x%5E2=7%2B2=9\"
\n" ); document.write( "\"x=0+%2B-+3\"
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\n" ); document.write( "\"x%5E2=-8%2B2\"
\n" ); document.write( "\"x%5E2=-6\"
\n" ); document.write( "No solution.
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\n" ); document.write( "(-3,7) and (3,7) are the solutions
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