document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=371166>Question 371166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. <BR>\n" );
document.write( "7x + 8y = 51<BR>\n" );
document.write( "7x + 10y = 55  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264434 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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/cgi-bin/show-face.mpl?user=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=264434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">If you subtract the first equation from the second equation, you will \"eliminate\" the x variable! <br>\r<BR>\n" );
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document.write( "What you need to do is just subtract like terms, ie subtract 7x from 7x, subtract 8y from 10y, and subtract 51 from 55.<br>\r<BR>\n" );
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document.write( "You will end up with<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=4 ALIGN=MIDDLE  ALT=\"2y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Then just plug y=2 back into either one of the equations.<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B10y=55 ALIGN=MIDDLE  ALT=\"7x%2B10y=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B10%2A2=55 ALIGN=MIDDLE  ALT=\"7x%2B10%2A2=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B20=55 ALIGN=MIDDLE  ALT=\"7x%2B20=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=35 ALIGN=MIDDLE  ALT=\"7x=35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Therefore, the ONLY solution to this system of equations is:<br>\r<BR>\n" );
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document.write( "x=5 and y=2, or the point (5,2)<br>\r<BR>\n" );
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document.write( "I hope this helps!<br> </SPAN>\n" );
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