document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855480>Question 855480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Elimination Method:<BR>\n" );
document.write( " 3x + y = 9<BR>\n" );
document.write( " 5x + 4y = 22<BR>\n" );
document.write( "Post steps used to get the answer...Please. <BR>\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515385 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=515385\">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=system+%283x+%2B+y+=+9%2C+5x+%2B+4y+=+22%29 ALIGN=MIDDLE  ALT=\"system+%283x+%2B+y+=+9%2C+5x+%2B+4y+=+22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > solved in tiny steps.\r<BR>\n" );
document.write( "\n" );
document.write( "STEP 1:<BR>\n" );
document.write( "Start by multiplying both sides of the equal sign by a convenient number for one equation,<BR>\n" );
document.write( "and doing the same for the other equation, if needed.<BR>\n" );
document.write( "How do you choose the convenient number(s)?<BR>\n" );
document.write( "You choose them so as to \"eliminate\" one variable in the next step.<BR>\n" );
document.write( "There is more than one way to choose, and one way may look easier than another.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+y+=+9 ALIGN=MIDDLE  ALT=\"3x+%2B+y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%29%283x+%2B+y%29=%284%29%2A9 ALIGN=MIDDLE  ALT=\"%284%29%283x+%2B+y%29=%284%29%2A9\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+%2B12y=%2B36 ALIGN=MIDDLE  ALT=\"12x+%2B12y=%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+4y+=+22 ALIGN=MIDDLE  ALT=\"5x+%2B+4y+=+22\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%285x+%2B+4y%29=%28-1%29%2A22 ALIGN=MIDDLE  ALT=\"%28-1%29%285x+%2B+4y%29=%28-1%29%2A22\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x+-+4y+=+-22 ALIGN=MIDDLE  ALT=\"-5x+-+4y+=+-22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "STEP 2:<BR>\n" );
document.write( "Add together left sides and right sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C%22%2B12+x%22%2C%22%2B12+y%22%2C%22=%22%2C%2B36%2C-5+x%2C-4+y%2C%22=%22%2C-22%2C7x%2C%22%2B0+y%22%2C%22=%22%2C14%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That \"eliminated\" <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > because we ended up with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=14 ALIGN=MIDDLE  ALT=\"7x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "STEP 3:<BR>\n" );
document.write( "Solve for the variable not eliminated.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=14 ALIGN=MIDDLE  ALT=\"7x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=14%2F7 ALIGN=MIDDLE  ALT=\"x=14%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><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" );
document.write( " <BR>\n" );
document.write( "STEP 4:<BR>\n" );
document.write( "Substitute the value found for the variable in one of the equations.<BR>\n" );
document.write( "Which one?<BR>\n" );
document.write( "Again, there are choices, and one way may look easier than another.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+y+=+9 ALIGN=MIDDLE  ALT=\"3x+%2B+y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > looks better to me, because there is no coefficient in front of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x+%2B+y+=+9%2Cx=2%29 ALIGN=MIDDLE  ALT=\"system%283x+%2B+y+=+9%2Cx=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A2%2By=9 ALIGN=MIDDLE  ALT=\"3%2A2%2By=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2By=9 ALIGN=MIDDLE  ALT=\"6%2By=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "STEP 5:<BR>\n" );
document.write( "Solve for the originally \"eliminated\" variable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2By=9 ALIGN=MIDDLE  ALT=\"6%2By=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9-6 ALIGN=MIDDLE  ALT=\"y=9-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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