document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549793>Question 549793</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. \r<BR>\n" );
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document.write( "-2x + 3y = -37.5\r<BR>\n" );
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document.write( "-4x + 0y = -24\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358078 by </B><A HREF=/tutors/aboutme.mpl?userid=mathie123><B>mathie123(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathie123><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=358078\">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=-2x+%2B+3y+=+-37.5 ALIGN=MIDDLE  ALT=\"-2x+%2B+3y+=+-37.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >     (1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x+%2B+0y+=+-24 ALIGN=MIDDLE  ALT=\"-4x+%2B+0y+=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" >       (2)\r<BR>\n" );
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document.write( "So for this question, I wouldn't use elimination as Equation (2) gives an easy way for solving for x, but we can\r<BR>\n" );
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document.write( "I will eliminate the x values. <BR>\n" );
document.write( "This means I must multiply my equation (1) by the constant in front of x in the second equation (2) (which is -4) which leaves:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x-12y=150 ALIGN=MIDDLE  ALT=\"8x-12y=150\"   DISABLED_style= \"max-width:90%; height:auto;\" >    (3) <BR>\n" );
document.write( "and my equation (2) by the constant in front of x in equation (1)(which is -2).  This leaves:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2B0y=48 ALIGN=MIDDLE  ALT=\"8x%2B0y=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >      (4)\r<BR>\n" );
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document.write( "Now subtracting equation (3) by equation (4) we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x-12y%29-%288x%2B0y%29=150-48 ALIGN=MIDDLE  ALT=\"%288x-12y%29-%288x%2B0y%29=150-48\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12y=102 ALIGN=MIDDLE  ALT=\"-12y=102\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=102%2F-12 ALIGN=MIDDLE  ALT=\"y=102%2F-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=102%2F-12 ALIGN=MIDDLE  ALT=\"y=102%2F-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-8.5 ALIGN=MIDDLE  ALT=\"y=-8.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now substituting this value of y back into any of the above equations (I will sub it into equation (2)), we can solve for x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x+%2B+0%2A-8.5+=+-24 ALIGN=MIDDLE  ALT=\"-4x+%2B+0%2A-8.5+=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x=+-24 ALIGN=MIDDLE  ALT=\"-4x=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+-24%2F-4 ALIGN=MIDDLE  ALT=\"x=+-24%2F-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+6 ALIGN=MIDDLE  ALT=\"x=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the system has the solution (6, -8.5).  <BR>\n" );
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document.write( "Hopefully this helps!<BR>\n" );
document.write( "Romans 5:8  </SPAN>\n" );
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