document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107405>Question 107405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "      solve -4x+y =-11<BR>\n" );
document.write( "             2x-3y =5  by substitution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78207 by </B><A HREF=/tutors/aboutme.mpl?userid=Annabelle1><B>Annabelle1(69)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Annabelle1><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=78207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <TABLE  BORDER=1>\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++++-4%5Cx+%2B+1%5Cy+=+-11%2C%0D%0A++++2%5Cx+%2B+-3%5Cy+=+5+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++-4%5Cx+%2B+1%5Cy+=+-11%2C%0D%0A++++2%5Cx+%2B+-3%5Cy+=+5+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 1*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2Ax+=+-11+-+1%2Ay ALIGN=MIDDLE  ALT=\"-4%2Ax+=+-11+-+1%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-11%2F-4+-+1%2Ay%2F-4 ALIGN=MIDDLE  ALT=\"x+=+-11%2F-4+-+1%2Ay%2F-4\"   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=2%2A%28-11%2F-4+-+1%2Ay%2F-4%29+%2B+-3%5Cy+=+5 ALIGN=MIDDLE  ALT=\"2%2A%28-11%2F-4+-+1%2Ay%2F-4%29+%2B+-3%5Cy+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=0.2. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-11%2F-4+-+1%2Ay%2F-4 ALIGN=MIDDLE  ALT=\"x+=+-11%2F-4+-+1%2Ay%2F-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=2.8.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=2.8%2C+y=0.2+%29 ALIGN=MIDDLE  ALT=\"system%28+x=2.8%2C+y=0.2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  </TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );