document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=409504>Question 409504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the substition method for 18x+6y=78, 12x+54y=-48? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288223 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=288223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18x%2B6y=78 ALIGN=MIDDLE  ALT=\"18x%2B6y=78\"   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=12x%2B54y=-48 ALIGN=MIDDLE  ALT=\"12x%2B54y=-48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<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++++18%5Cx+%2B+6%5Cy+=+78%2C%0D%0A++++12%5Cx+%2B+54%5Cy+=+-48+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++18%5Cx+%2B+6%5Cy+=+78%2C%0D%0A++++12%5Cx+%2B+54%5Cy+=+-48+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 6*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Ax+=+78+-+6%2Ay ALIGN=MIDDLE  ALT=\"18%2Ax+=+78+-+6%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+78%2F18+-+6%2Ay%2F18 ALIGN=MIDDLE  ALT=\"x+=+78%2F18+-+6%2Ay%2F18\"   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=12%2A%2878%2F18+-+6%2Ay%2F18%29+%2B+54%5Cy+=+-48 ALIGN=MIDDLE  ALT=\"12%2A%2878%2F18+-+6%2Ay%2F18%29+%2B+54%5Cy+=+-48\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=-2. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+78%2F18+-+6%2Ay%2F18 ALIGN=MIDDLE  ALT=\"x+=+78%2F18+-+6%2Ay%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=5.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=5%2C+y=-2+%29 ALIGN=MIDDLE  ALT=\"system%28+x=5%2C+y=-2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( " </SPAN>\n" );
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