document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028377>Question 1028377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by elimination method:<BR>\n" );
document.write( "(5/2) x + (10/3)y = 55 and (7/3)x + (7/2)y = 56<BR>\n" );
document.write( "I know these two equations then equal:<BR>\n" );
document.write( "15x+20y=330 and 14x+21y=336\r<BR>\n" );
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document.write( "But I don't know what to do from there! And what is elimination method anyway? What's the difference between that and substitution method or are they the same thing and are there any other kinds of methods? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643467 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</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=643467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Elimination is just a fancy often more efficient way of handling Substitution.  \r<BR>\n" );
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document.write( "Multiply each equation so you can eliminate y and solve for x;  start over and multiply each equation to eliminate x and solve for y.\r<BR>\n" );
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document.write( "System starts as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2815x%2B20y=330%2C14x%2B21y=336%29 ALIGN=MIDDLE  ALT=\"system%2815x%2B20y=330%2C14x%2B21y=336%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can simplify each of the equations before you start the elimination method process because each of your equations is still simplifiable.  The factor 5 in one equation and factor 7 in the other.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x%2B4y=66%2C2x%2B3y=48%29 ALIGN=MIDDLE  ALT=\"system%283x%2B4y=66%2C2x%2B3y=48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You will want coefficient on y to become  12, which I will not explain...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283%283x%2B4y%29=3%2A66%2C4%282x%2B3y%29=4%2A48%29 ALIGN=MIDDLE  ALT=\"system%283%283x%2B4y%29=3%2A66%2C4%282x%2B3y%29=4%2A48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%289x%2B12y=198%2C8x%2B12y=192%29 ALIGN=MIDDLE  ALT=\"system%289x%2B12y=198%2C8x%2B12y=192%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the system is equivalent to the first system  (and to the second system).\r<BR>\n" );
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document.write( "This next step is two substitutions, USING the system...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%2B12y%29-%288x%2B12y%29=198-192 ALIGN=MIDDLE  ALT=\"%289x%2B12y%29-%288x%2B12y%29=198-192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "...and what is x ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=6%29 ALIGN=MIDDLE  ALT=\"highlight%28x=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, you can manage the process again to find y in similar manner. </SPAN>\n" );
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