document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199797>Question 199797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with the following problem.  I truly need help.\r<BR>\n" );
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document.write( "9x + 24y = 90<BR>\n" );
document.write( "3x + 8y = 30\r<BR>\n" );
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document.write( "These need to be solved using the multiplication/addition method.  I have several more problems like this and will use this as an example.  I need step by step directions so I can do the other problems.  Thank-you so, so much!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150178 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=150178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Start with the given system of equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%289x%2B24y=90%2C3x%2B8y=30%29 ALIGN=MIDDLE  ALT=\"system%289x%2B24y=90%2C3x%2B8y=30%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=-3%283x%2B8y%29=-3%2830%29 ALIGN=MIDDLE  ALT=\"-3%283x%2B8y%29=-3%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the both sides of the second equation by -3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9x-24y=-90 ALIGN=MIDDLE  ALT=\"-9x-24y=-90\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply.\r<BR>\n" );
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document.write( "So we have the new system of equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%289x%2B24y=90%2C-9x-24y=-90%29 ALIGN=MIDDLE  ALT=\"system%289x%2B24y=90%2C-9x-24y=-90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%2B24y%29%2B%28-9x-24y%29=%2890%29%2B%28-90%29 ALIGN=MIDDLE  ALT=\"%289x%2B24y%29%2B%28-9x-24y%29=%2890%29%2B%28-90%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=%289x%2B-9x%29%2B%2824y%2B-24y%29=90%2B-90 ALIGN=MIDDLE  ALT=\"%289x%2B-9x%29%2B%2824y%2B-24y%29=90%2B-90\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0x%2B0y=0 ALIGN=MIDDLE  ALT=\"0x%2B0y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >Simplify.\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=\"4\"><b>always</b></font> true, this means that there are an infinite number of solutions. \r<BR>\n" );
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document.write( "So the system is consistent and dependent.\r<BR>\n" );
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document.write( "If you have any questions, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com\">jim_thompson5910@hotmail.com</a>.<BR>\n" );
document.write( "Check out my <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">website</a> if you are interested in tutoring. </SPAN>\n" );
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