document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89933>Question 89933</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131492578/algebrahomeworkh>intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> .813x+.743y=.079<BR>\n" );
document.write( ".491x+.114y=.826\r<BR>\n" );
document.write( "\n" );
document.write( "solve by substitution, graphing, manipulating coefficients, and cramer's rule, i cant figure out what to do because all the variables have numbers????? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65285 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=65285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .813x+.743y=.079<BR>\n" );
document.write( ".491x+.114y=.826 <BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "To get rid of the decimals, multiply thru each equation by 1000:<BR>\n" );
document.write( "1st: 813x + 743y = 79<BR>\n" );
document.write( "2nd: 491x + 114y = 826<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "To solve the system by elimination, multiply 1st thru by 491 and 2nd thru by 813<BR>\n" );
document.write( "3rd: 399183x + 364813y = 38789<BR>\n" );
document.write( "4th: 399183x + 92682y  = 671538<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "To solve for y, subtract 4th from 3rd to get:<BR>\n" );
document.write( "272131y = -632749<BR>\n" );
document.write( "y = -2.325<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Substitute that into 491x + 114y = 826 to solve for x:<BR>\n" );
document.write( "491x + 114*-2.325 = 826<BR>\n" );
document.write( "491x = 826 + 265.069<BR>\n" );
document.write( "491x = 1091.069<BR>\n" );
document.write( "x = 2.222<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Comment: I checked these answers with matrix methods.<BR>\n" );
document.write( "They are correct.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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