document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108482>Question 1108482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of linear equations using the substitution method:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F4%29x+%2B+%283%2F2%29y+=+11 ALIGN=MIDDLE  ALT=\"%28-1%2F4%29x+%2B+%283%2F2%29y+=+11\"   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=%28-1%2F8%29x+%2B+%281%2F3%29y+=+3 ALIGN=MIDDLE  ALT=\"%28-1%2F8%29x+%2B+%281%2F3%29y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Express answer as an ordered pair.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #723475 by </B><A HREF=/tutors/aboutme.mpl?userid=asymptote><B>asymptote(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=asymptote><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=723475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for y in the first equation, then plug this expression into the second equation and solve for x:\r<BR>\n" );
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document.write( "1) Add x term to both sides: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29y+=+11+%2B+%281%2F4%29x ALIGN=MIDDLE  ALT=\"%283%2F2%29y+=+11+%2B+%281%2F4%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) Divide both sides by 3/2 (a.k.a multiply by reciprocal, 2/3) to isolate y: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2822%2F3%29+%2B+%281%2F6%29%2Ax ALIGN=MIDDLE  ALT=\"y+=+%2822%2F3%29+%2B+%281%2F6%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) Now substitute this expression for y in the second equation: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F8%29%2Ax+%2B+%281%2F3%29%2A%28%2822%2F3%29+%2B+%281%2F6%29%2Ax%29+=+3 ALIGN=MIDDLE  ALT=\"%28-1%2F8%29%2Ax+%2B+%281%2F3%29%2A%28%2822%2F3%29+%2B+%281%2F6%29%2Ax%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4) Simplify left-hand side by distributing 1/3 in preparation of isolating x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F8%29%2Ax+%2B+%2822%2F9%29+%2B+%281%2F18%29%2Ax+=+3 ALIGN=MIDDLE  ALT=\"%28-1%2F8%29%2Ax+%2B+%2822%2F9%29+%2B+%281%2F18%29%2Ax+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5) Combine x terms by using common denominator of 72:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%2F72%29%2Ax+%2B+%2822%2F9%29+=+3 ALIGN=MIDDLE  ALT=\"%28-5%2F72%29%2Ax+%2B+%2822%2F9%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6) Subtract 22/9 from both sides by using common denominator of 9:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%2F72%29%2Ax+=+%285%2F9%29 ALIGN=MIDDLE  ALT=\"%28-5%2F72%29%2Ax+=+%285%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "7) Solve for x by multiplying both sides by -72/5 (a.k.a dividing by -5/72):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-8 ALIGN=MIDDLE  ALT=\"x+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We now know x and can plug -8 into either of the original two equations and solve for y. I will use the second equation:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F8%29%2A-8+%2B+%281%2F3%29%2Ay+=+3 ALIGN=MIDDLE  ALT=\"%28-1%2F8%29%2A-8+%2B+%281%2F3%29%2Ay+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+%281%2F3%29%2Ay+=+3 ALIGN=MIDDLE  ALT=\"1+%2B+%281%2F3%29%2Ay+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%2Ay+=+2 ALIGN=MIDDLE  ALT=\"%281%2F3%29%2Ay+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+6 ALIGN=MIDDLE  ALT=\"y+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When we plug x = -8 and y = 6 back into both original equations, we get true equalities, verifying our answer.\r<BR>\n" );
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document.write( "Finally, writing as ordered pair, (x,y) yields (-8, 6) as our final answer.\r<BR>\n" );
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document.write( "Just as a note, unless you had to solve this by substitution, I would recommend using the elimination method as it would be much quicker.<BR>\n" );
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