document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165535>Question 165535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the substitution method to solve the systems of equations.\r<BR>\n" );
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document.write( "2x+y=4<BR>\n" );
document.write( "2x-y=0\r<BR>\n" );
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document.write( "I am racking my brain on this one!  thanks in advance for any help you would be able to give me!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122008 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=122008\">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++++2%5Cx+%2B+1%5Cy+=+4%2C%0D%0A++++2%5Cx+%2B+-1%5Cy+=+0+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++2%5Cx+%2B+1%5Cy+=+4%2C%0D%0A++++2%5Cx+%2B+-1%5Cy+=+0+%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=2%2Ax+=+4+-+1%2Ay ALIGN=MIDDLE  ALT=\"2%2Ax+=+4+-+1%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4%2F2+-+1%2Ay%2F2 ALIGN=MIDDLE  ALT=\"x+=+4%2F2+-+1%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=2%2A%284%2F2+-+1%2Ay%2F2%29+%2B+-1%5Cy+=+0 ALIGN=MIDDLE  ALT=\"2%2A%284%2F2+-+1%2Ay%2F2%29+%2B+-1%5Cy+=+0\"   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+=+4%2F2+-+1%2Ay%2F2 ALIGN=MIDDLE  ALT=\"x+=+4%2F2+-+1%2Ay%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=1.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=1%2C+y=2+%29 ALIGN=MIDDLE  ALT=\"system%28+x=1%2C+y=2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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