document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=315131>Question 315131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve this linear equation by elimination and substitution and work must be shown.<BR>\n" );
document.write( "2x-4y=-4 and 4x+5y=48.<BR>\n" );
document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225435 by </B><A HREF=/tutors/aboutme.mpl?userid=malaydassharma><B>malaydassharma(59)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=malaydassharma><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=malaydassharma><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=225435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Elimination Method:\r<BR>\n" );
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document.write( "2x-4y=-4  ..(i)<BR>\n" );
document.write( "4x+5y=48  ..(ii)\r<BR>\n" );
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document.write( "Multiplying (i) by 2 \r<BR>\n" );
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document.write( "4x-8y=-8  ..(i)<BR>\n" );
document.write( "4x+5y=48  ..(ii)\r<BR>\n" );
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document.write( "subtracting (i) - (ii) we get\r<BR>\n" );
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document.write( "-13y=-56   <BR>\n" );
document.write( "y=56 / 13\r<BR>\n" );
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document.write( "2x-4y=-4  ..(i)<BR>\n" );
document.write( "4x+5y=48  ..(ii)\r<BR>\n" );
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document.write( "Multiplying (i) by 5 and (ii) by 4\r<BR>\n" );
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document.write( "10x-20y=-20  ..(i)<BR>\n" );
document.write( "16x+20y=192  ..(ii)\r<BR>\n" );
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document.write( "Adding  (i) + (ii) we get\r<BR>\n" );
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document.write( "26x=172<BR>\n" );
document.write( "x=172/26= 86/13\r<BR>\n" );
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document.write( "Substitution Method:\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++++2%5Cx+%2B+-4%5Cy+=+-4%2C%0D%0A++++4%5Cx+%2B+5%5Cy+=+48+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++2%5Cx+%2B+-4%5Cy+=+-4%2C%0D%0A++++4%5Cx+%2B+5%5Cy+=+48+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving -4*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ax+=+-4+-+-4%2Ay ALIGN=MIDDLE  ALT=\"2%2Ax+=+-4+-+-4%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4%2F2+-+-4%2Ay%2F2 ALIGN=MIDDLE  ALT=\"x+=+-4%2F2+-+-4%2Ay%2F2\"   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=4%2A%28-4%2F2+-+-4%2Ay%2F2%29+%2B+5%5Cy+=+48 ALIGN=MIDDLE  ALT=\"4%2A%28-4%2F2+-+-4%2Ay%2F2%29+%2B+5%5Cy+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=4.30769230769231. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4%2F2+-+-4%2Ay%2F2 ALIGN=MIDDLE  ALT=\"x+=+-4%2F2+-+-4%2Ay%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=6.61538461538462.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=6.61538461538462%2C+y=4.30769230769231+%29 ALIGN=MIDDLE  ALT=\"system%28+x=6.61538461538462%2C+y=4.30769230769231+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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