document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=960591>Question 960591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2y-3x=12<BR>\n" );
document.write( "y+1=5x\r<BR>\n" );
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document.write( "What is the solution to this using substitution? Also, what is the answer in an x,y point? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #587053 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=587053\">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=2y-3x=12 ALIGN=MIDDLE  ALT=\"2y-3x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B1=5x ALIGN=MIDDLE  ALT=\"y%2B1=5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B2y=12 ALIGN=MIDDLE  ALT=\"-3x%2B2y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2By=-1 ALIGN=MIDDLE  ALT=\"-5x%2By=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++-3%5Cx+%2B+2%5Cy+=+12%2C%0D%0A++++-5%5Cx+%2B+1%5Cy+=+-1+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++-3%5Cx+%2B+2%5Cy+=+12%2C%0D%0A++++-5%5Cx+%2B+1%5Cy+=+-1+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 2*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2Ax+=+12+-+2%2Ay ALIGN=MIDDLE  ALT=\"-3%2Ax+=+12+-+2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12%2F-3+-+2%2Ay%2F-3 ALIGN=MIDDLE  ALT=\"x+=+12%2F-3+-+2%2Ay%2F-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2A%2812%2F-3+-+2%2Ay%2F-3%29+%2B+1%5Cy+=+-1 ALIGN=MIDDLE  ALT=\"-5%2A%2812%2F-3+-+2%2Ay%2F-3%29+%2B+1%5Cy+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=9. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12%2F-3+-+2%2Ay%2F-3 ALIGN=MIDDLE  ALT=\"x+=+12%2F-3+-+2%2Ay%2F-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=2.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=2%2C+y=9+%29 ALIGN=MIDDLE  ALT=\"system%28+x=2%2C+y=9+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  </TD></TR>\n" );
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document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >) point is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"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=+graph%28+600%2C+600%2C+-10%2C+15%2C+-10%2C+15%2C+5x-1%2C%283%2F2%29x%2B6%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+15%2C+-10%2C+15%2C+5x-1%2C%283%2F2%29x%2B6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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