document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64463>Question 64463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To solve systems of equations by the substitution method.  My son needs help with these 2 problems:\r<BR>\n" );
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document.write( "(1)  x = 3y – 1<BR>\n" );
document.write( "     x +2y = 9\r<BR>\n" );
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document.write( "(2)  2x – 3y = 12<BR>\n" );
document.write( "     x = 4y +1\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45088 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=45088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by substitution:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3y-1 ALIGN=MIDDLE  ALT=\"x+=+3y-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute this equation for x into the second equation and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y+=+9 ALIGN=MIDDLE  ALT=\"x%2B2y+=+9\"   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=%283y-1%29%2B2y+=+9 ALIGN=MIDDLE  ALT=\"%283y-1%29%2B2y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2B2y-1+=+9 ALIGN=MIDDLE  ALT=\"3y%2B2y-1+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the y-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-1+=+9 ALIGN=MIDDLE  ALT=\"5y-1+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 1 to both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+10 ALIGN=MIDDLE  ALT=\"5y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by 5.<BR>\n" );
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;\" > Now substitute this value of y into the first equation and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%282%29-1 ALIGN=MIDDLE  ALT=\"x+=+3%282%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6-1 ALIGN=MIDDLE  ALT=\"x+=+6-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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;\" >\r<BR>\n" );
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document.write( "The solution is: (5, 2)\r<BR>\n" );
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document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y+=+12 ALIGN=MIDDLE  ALT=\"2x-3y+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4y%2B1 ALIGN=MIDDLE  ALT=\"x+=+4y%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Substitute this equation for x into the first equation and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%284y%2B1%29-3y+=+12 ALIGN=MIDDLE  ALT=\"2%284y%2B1%29-3y+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y%2B2-3y+=+12 ALIGN=MIDDLE  ALT=\"8y%2B2-3y+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the y-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2B2+=+12 ALIGN=MIDDLE  ALT=\"5y%2B2+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2 from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+10 ALIGN=MIDDLE  ALT=\"5y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by 5.<BR>\n" );
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;\" > Now substitute this value for y into the second equation and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4%282%29%2B1 ALIGN=MIDDLE  ALT=\"x+=+4%282%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+8%2B1 ALIGN=MIDDLE  ALT=\"x+=+8%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9 ALIGN=MIDDLE  ALT=\"x+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solution is: (9, 2) </SPAN>\n" );
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