document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908037>Question 908037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what are the solutions for 4x-5y=11 and x^2+y^2=25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550794 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x-5y=11 and x^2+y^2=25\r<BR>\n" );
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document.write( "4x-5y=11<BR>\n" );
document.write( "4x=5y+11<BR>\n" );
document.write( "x=(5y+11)/4 \r<BR>\n" );
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document.write( "and x^2+y^2=25\r<BR>\n" );
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document.write( "((5y+11)/4)^2+y^2= 25\r<BR>\n" );
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document.write( "(5y+11)^2/16 +y^2=25\r<BR>\n" );
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document.write( "multiply equation by 15\r<BR>\n" );
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document.write( "(5y+11)^2+16y^2=16*25\r<BR>\n" );
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document.write( "25y^2+110y+121+16y^2=400\r<BR>\n" );
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document.write( "41y^2+110y-279=0<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula							<BR>\n" );
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document.write( "a=	41	,	b=	110	,	c=	-279<BR>\n" );
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document.write( "b^2-4ac=	12100	+	45756				<BR>\n" );
document.write( "b^2-4ac=	57856						<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%09sqrt%28%0957856%09%29=%09240.53%09 ALIGN=MIDDLE  ALT=\"%09sqrt%28%0957856%09%29=%09240.53%09\"   DISABLED_style= \"max-width:90%; height:auto;\" >		<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "x1=(	-110	+	240.53	)/	82		<BR>\n" );
document.write( "x1=	1.59						<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "x2=(	-110	-240.53	) /	82			<BR>\n" );
document.write( "x2=	-4.27						\r<BR>\n" );
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document.write( "y=1.59 OR -4.27\r<BR>\n" );
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document.write( "when y = 1.59<BR>\n" );
document.write( "4x-5y=11<BR>\n" );
document.write( "4x-7.95=11<BR>\n" );
document.write( "4x=18.95<BR>\n" );
document.write( "x=4.73<BR>\n" );
document.write( "One pair of solution is (4.73 & 1.59)<BR>\n" );
document.write( "Other pair you can work out <BR>\n" );
document.write( "using y=-4.27 </SPAN>\n" );
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