document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147692>Question 147692</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> solve using elimination method and check\r<BR>\n" );
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document.write( "   4x+y=1<BR>\n" );
document.write( "    x-2y=-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108054 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=108054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve using elimination method and check\r<BR>\n" );
document.write( "\n" );
document.write( "   4x+y=1<BR>\n" );
document.write( "    x-2y=-2\r<BR>\n" );
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document.write( "Multiply the second equation by -4 to be able to eliminate x.  You should get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%2B8y=8 ALIGN=MIDDLE  ALT=\"-4x%2B8y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Add all that to the first equation and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y=9 ALIGN=MIDDLE  ALT=\"9y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So y=1.  Plug 1 in for y in the other equation to solve for x.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B1=1 ALIGN=MIDDLE  ALT=\"4x%2B1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=0 ALIGN=MIDDLE  ALT=\"4x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. x=0. To check both values, plug them both into either equation. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-2=-2 ALIGN=MIDDLE  ALT=\"0-2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It's true. So x=0 and y=1. </SPAN>\n" );
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