document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=751986>Question 751986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Im doing Elimination using Multiplication. The problem is 1/4x + 4y = 2 3/4 and 3x + 1/2y = 9 1/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457502 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39838)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=457502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4x+%2B+4y+=+2%26+3%2F4 ALIGN=MIDDLE  ALT=\"1%2F4x+%2B+4y+=+2%26+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+1%2F2y+=+9%26+1%2F4 ALIGN=MIDDLE  ALT=\"3x+%2B+1%2F2y+=+9%26+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Did you really mean this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29x+%2B+4y+=+2%26+3%2F4 ALIGN=MIDDLE  ALT=\"%281%2F4%29x+%2B+4y+=+2%26+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+%281%2F2%29y+=+9%26+1%2F4 ALIGN=MIDDLE  ALT=\"3x+%2B+%281%2F2%29y+=+9%26+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "?\r<BR>\n" );
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document.write( "Multiply either equation by some number so that the coefficients on either the x or the y are the same, and then subtract one equation from the other equation and solve for the single variable present.  \r<BR>\n" );
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document.write( "Alternatively multiply EACH equation by numbers to make the coefficient on either x or y match; and then subtract one equation from the other.  Solve the variable.\r<BR>\n" );
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document.write( "Here is one way:<BR>\n" );
document.write( "Starting with your second equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A%283x+%2B+%281%2F2%29y%29+=+8%2A%289%26+1%2F4%29 ALIGN=MIDDLE  ALT=\"8%2A%283x+%2B+%281%2F2%29y%29+=+8%2A%289%26+1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Gives you<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24x%2B4y=74 ALIGN=MIDDLE  ALT=\"24x%2B4y=74\"   DISABLED_style= \"max-width:90%; height:auto;\" > another equivalent equation to your second equation.\r<BR>\n" );
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document.write( "So your system could be <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29x+%2B+4y+=+2%26+3%2F4 ALIGN=MIDDLE  ALT=\"%281%2F4%29x+%2B+4y+=+2%26+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24x%2B4y=74 ALIGN=MIDDLE  ALT=\"24x%2B4y=74\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------\r<BR>\n" );
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document.write( "See that the coefficients on y in both these are both 4.<BR>\n" );
document.write( "Now, subtract the first equation from the second equation, and solve for x. </SPAN>\n" );
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