document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5043>Question 5043</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this system of equations with the substitution method\r<BR>\n" );
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document.write( "Y=3x - 2<BR>\n" );
document.write( "Y=-1/2x + 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2529 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Y=3x - 2<BR>\n" );
document.write( "Y=-1/2x + 5\r<BR>\n" );
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document.write( "Substitution method means to substitute x or y from one equation into the other equation.  In this case, since both equations are in \"Y= \" format, set them equal to each other:\r<BR>\n" );
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document.write( "3x - 2 = -1/2x + 5\r<BR>\n" );
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document.write( "Some people don't like fractions, so to clear the fractions, multiply both sides by 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3x+-+2%2A+2+=+2%2A%28-1%2F2%29x+%2B+2%2A5 ALIGN=MIDDLE  ALT=\"2%2A3x+-+2%2A+2+=+2%2A%28-1%2F2%29x+%2B+2%2A5\"   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=6x+-+4+=+-x+%2B+10 ALIGN=MIDDLE  ALT=\"6x+-+4+=+-x+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add +x from each side, and add +4 to each side to get all x terms to the left side and the number terms to the right side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+%2Bx++-+4+=+-x+%2B+x+%2B+10 ALIGN=MIDDLE  ALT=\"6x+%2Bx++-+4+=+-x+%2B+x+%2B+10\"   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=7x+-+4+=++10 ALIGN=MIDDLE  ALT=\"7x+-+4+=++10\"   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=7x+-+4+%2B+4+=++10+%2B+4 ALIGN=MIDDLE  ALT=\"7x+-+4+%2B+4+=++10+%2B+4\"   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=+7x+=+14 ALIGN=MIDDLE  ALT=\"+7x+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+14%2F7+=+2 ALIGN=MIDDLE  ALT=\"+x+=+14%2F7+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, substitute into the first equation:  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+3x+-+2 ALIGN=MIDDLE  ALT=\"Y+=+3x+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=3%282%29+-+2 ALIGN=MIDDLE  ALT=\"Y=3%282%29+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+6+-+2 ALIGN=MIDDLE  ALT=\"Y+=+6+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+4 ALIGN=MIDDLE  ALT=\"Y+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check in the second equation:\r<BR>\n" );
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document.write( "Y=-1/2x + 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+=%28-1%2F2%29%2A%282%29+%2B+5 ALIGN=MIDDLE  ALT=\"+4+=%28-1%2F2%29%2A%282%29+%2B+5\"   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=+4+=+-1+%2B+5+ ALIGN=MIDDLE  ALT=\"+4+=+-1+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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