document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=938966>Question 938966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each system by substitution. <BR>\n" );
document.write( "1/2x + 1/3y = 5<BR>\n" );
document.write( "1/4x + y = 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #572121 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=572121\">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++++0.5%5Cx+%2B+0.333333333333333%5Cy+=+5%2C%0D%0A++++0.25%5Cx+%2B+1%5Cy+=+10+%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 0.333333333333333*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5%2Ax+=+5+-+0.333333333333333%2Ay ALIGN=MIDDLE  ALT=\"0.5%2Ax+=+5+-+0.333333333333333%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5%2F0.5+-+0.333333333333333%2Ay%2F0.5 ALIGN=MIDDLE  ALT=\"x+=+5%2F0.5+-+0.333333333333333%2Ay%2F0.5\"   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=0.25%2A%285%2F0.5+-+0.333333333333333%2Ay%2F0.5%29+%2B+1%5Cy+=+10 ALIGN=MIDDLE  ALT=\"0.25%2A%285%2F0.5+-+0.333333333333333%2Ay%2F0.5%29+%2B+1%5Cy+=+10\"   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+=+5%2F0.5+-+0.333333333333333%2Ay%2F0.5 ALIGN=MIDDLE  ALT=\"x+=+5%2F0.5+-+0.333333333333333%2Ay%2F0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=4.00000000000001.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=4.00000000000001%2C+y=9+%29 ALIGN=MIDDLE  ALT=\"system%28+x=4.00000000000001%2C+y=9+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  </TD></TR>\n" );
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document.write( " </SPAN>\n" );
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