document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205740>Question 1205740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 36x+54y=450 12x+15y=135 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842747 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 36x + 54y = 450<BR>\n" );
document.write( "12x + 15y = 135\r<BR>\n" );
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document.write( "leave first equation as is and multiply second equation by 3 to get:<BR>\n" );
document.write( "36x + 54y = 450<BR>\n" );
document.write( "36x + 45y = 405\r<BR>\n" );
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document.write( "subtract second equation from first to get:<BR>\n" );
document.write( "9y = 45\r<BR>\n" );
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document.write( "solve for y to get:<BR>\n" );
document.write( "y = 5\r<BR>\n" );
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document.write( "replace y with 5 in first equation and solve for x to get:<BR>\n" );
document.write( "36x + 54y = 450 becomes 36x + 54 * 5 = 450 which becomes 36x + 270 = 450.\r<BR>\n" );
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document.write( "subtract 270 from both sides of the equation to get:<BR>\n" );
document.write( "36x = 450 - 270\r<BR>\n" );
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document.write( "simplify to get:<BR>\n" );
document.write( "36x = 180\r<BR>\n" );
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document.write( "solve for x to get:<BR>\n" );
document.write( "x = 180/36 = 5\r<BR>\n" );
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document.write( "replace x with 5 and y with 5 in the second original equation to get:<BR>\n" );
document.write( "12x + 15y = 135 becomes 12 * 5 + 15 * 5 = 135 which becopmes:<BR>\n" );
document.write( "60 + 75 = 135 which becomes 135 = 135.\r<BR>\n" );
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document.write( "this confirms the values of x = 5 and y = 5 satisfies both original equations.<BR>\n" );
document.write( "that's your solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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