document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212892>Question 212892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system using the substution method<BR>\n" );
document.write( "5x-4y=-5<BR>\n" );
document.write( "7x+y=21\r<BR>\n" );
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document.write( "solution (?/33,140/?) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160819 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system using the substitution method\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-4y=-5 ALIGN=MIDDLE  ALT=\"5x-4y=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2By=21 ALIGN=MIDDLE  ALT=\"7x%2By=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solution (?/33,140/?)  ANSWER (79/33, 140/33)\r<BR>\n" );
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document.write( "The following steps solves the set of equations by substitution.\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++++5%5Cx+%2B+-4%5Cy+=+-5%2C%0D%0A++++7%5Cx+%2B+1%5Cy+=+21+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++5%5Cx+%2B+-4%5Cy+=+-5%2C%0D%0A++++7%5Cx+%2B+1%5Cy+=+21+%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=5%2Ax+=+-5+-+-4%2Ay ALIGN=MIDDLE  ALT=\"5%2Ax+=+-5+-+-4%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-5%2F5+-+-4%2Ay%2F5 ALIGN=MIDDLE  ALT=\"x+=+-5%2F5+-+-4%2Ay%2F5\"   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=7%2A%28-5%2F5+-+-4%2Ay%2F5%29+%2B+1%5Cy+=+21 ALIGN=MIDDLE  ALT=\"7%2A%28-5%2F5+-+-4%2Ay%2F5%29+%2B+1%5Cy+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=4.24242424242424. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-5%2F5+-+-4%2Ay%2F5 ALIGN=MIDDLE  ALT=\"x+=+-5%2F5+-+-4%2Ay%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=2.39393939393939.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=2.39393939393939%2C+y=4.24242424242424+%29 ALIGN=MIDDLE  ALT=\"system%28+x=2.39393939393939%2C+y=4.24242424242424+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Based on the above steps we have the following:   x=2.3939... = 79/33 and y=4.2424...=140/33\r<BR>\n" );
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document.write( "where x = ?/33 = 2.3939... and y = 140/? = 4.2424...\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit <BR>\n" );
document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit <BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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