document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879542>Question 879542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5x - 5y = 10<BR>\n" );
document.write( "3x - 2y = 2\r<BR>\n" );
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document.write( "Part A: Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. Show the steps to do this. \r<BR>\n" );
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document.write( "Part B: Show that the equivalent system has the same solution as the original system of equations.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530961 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=530961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your part A and part B are a little difficult to follow but maybe this will help:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-5y=10 ALIGN=MIDDLE  ALT=\"5x-5y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be simplified, dividing left and right members by 5, to give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=2 ALIGN=MIDDLE  ALT=\"x-y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Your system is then equivalent to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=2 ALIGN=MIDDLE  ALT=\"x-y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2y=2 ALIGN=MIDDLE  ALT=\"3x-2y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You can solve this system with the Elimination Method.  The simplest way to start this is to try to match the coefficient on y in the second equation of the system.  The way to do this is multiply the left and right members of the first equation by 2, yielding the system:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-2y=4 ALIGN=MIDDLE  ALT=\"2x-2y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > AND <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2y=2 ALIGN=MIDDLE  ALT=\"3x-2y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Now, simply subtract one equation from the other equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-2y-%283x-2y%29=4-2 ALIGN=MIDDLE  ALT=\"2x-2y-%283x-2y%29=4-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-2y-3x%2B2y=2 ALIGN=MIDDLE  ALT=\"2x-2y-3x%2B2y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B0=2 ALIGN=MIDDLE  ALT=\"-x%2B0=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now, you might prefer not to again use elimination of x in order to find y; but instead to simply substitute for x=-2 in either equation of the system and solve for y.\r<BR>\n" );
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document.write( "... y=-4. </SPAN>\n" );
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