document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30337>Question 30337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Quesion: Choose the nonlinear systesm below that have (x,y) = (4,3) as on of their solutions.\r<BR>\n" );
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document.write( "(a) x^2+y^2=25<BR>\n" );
document.write( "    x+y=7\r<BR>\n" );
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document.write( "(b) y=x^2+2x-21<BR>\n" );
document.write( "    x-y+1\r<BR>\n" );
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document.write( "(c) x^2-y^2=7<BR>\n" );
document.write( "    2x+y=9\r<BR>\n" );
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document.write( "(d) a and b\r<BR>\n" );
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document.write( "(e) b and c </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17212 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Quesion: Choose the nonlinear systesm below that have (x,y) = (4,3) as on of their solutions.\r<BR>\n" );
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document.write( "(a) x^2+y^2=25<BR>\n" );
document.write( "    x+y=7\r<BR>\n" );
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document.write( "(b) y=x^2+2x-21<BR>\n" );
document.write( "    x-y+1\r<BR>\n" );
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document.write( "(c) x^2-y^2=7<BR>\n" );
document.write( "    2x+y=9\r<BR>\n" );
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document.write( "(d) a and b\r<BR>\n" );
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document.write( "(e) b and c\r<BR>\n" );
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document.write( "(a) x^2+y^2=25<BR>\n" );
document.write( "    x+y=7<BR>\n" );
document.write( "x= 4 and y = 3 gives <BR>\n" );
document.write( "x^2+y^2 =4^2+3^2 = 16+9 = 25<BR>\n" );
document.write( "and x+y = 4+3= 7<BR>\n" );
document.write( "Therefore (a) holds for x = 4 and y =3\r<BR>\n" );
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document.write( "(b) y=x^2+2x-21<BR>\n" );
document.write( "    x-y=1<BR>\n" );
document.write( "x= 4 and y = 3 gives<BR>\n" );
document.write( "x^2+2x-21 = 4^2+2X(4)-21 = 16+8-21=3 = y<BR>\n" );
document.write( "x-y = 4-3 = 1<BR>\n" );
document.write( "Therefore (b) holds for x = 4 and y =3\r<BR>\n" );
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document.write( "(c) x^2-y^2=7<BR>\n" );
document.write( "    2x+y=9<BR>\n" );
document.write( "x= 4 and y = 3 gives<BR>\n" );
document.write( "x^2-y^2= 4^2-3^2 = 16-9 = 7<BR>\n" );
document.write( "2x+y = 2X4 +3 = 8+3 = 11 NOT EQUAL TO the given 9<BR>\n" );
document.write( "Therefore (c) DOES NOT HOLD for x = 4 and y =3\r<BR>\n" );
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document.write( "Since both (a) and (b) hold <BR>\n" );
document.write( "therefore the choice  (d) a and b<BR>\n" );
document.write( "is the right answer\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );