document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=348294>Question 348294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4x+5y=10 3x-8y=-77.1 solve using addition method or substitution method. I get examples that show them multiplying by 40 and -30 on other problems, but I am not told why they picked those numbers so I am at a loss as where to start.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249009 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=249009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x+5y=10 <BR>\n" );
document.write( "3x-8y=-77<BR>\n" );
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document.write( "It's your choice.<BR>\n" );
document.write( "To get rid of the x terms, multiply the<BR>\n" );
document.write( "1st equation by 3 and the 2nd equation by -4<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "To get rid of the y-terms, multiply the 1st equation<BR>\n" );
document.write( "by 8 and the 2nd equation by 5.<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Following the 2nd choice I get:<BR>\n" );
document.write( "32x + 40y = 80<BR>\n" );
document.write( "15x -40y = -385<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Add and solve for \"x\":<BR>\n" );
document.write( "47x = -305<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = -05/47<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute and solve for \"y\":<BR>\n" );
document.write( "4x+5y=10 <BR>\n" );
document.write( "4(-305/47)+ 5y = 10<BR>\n" );
document.write( "4(-61/47)+y = 2<BR>\n" );
document.write( "4*-61+ 47y = 94<BR>\n" );
document.write( "47y = 338<BR>\n" );
document.write( "y = 338/47<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );