document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212828>Question 212828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by the elimination method <BR>\n" );
document.write( "0.3x-0.2y=4<BR>\n" );
document.write( "0.2x+0.5y= -21/23 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160747 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=160747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by the elimination method <BR>\n" );
document.write( "0.3x-0.2y=4<BR>\n" );
document.write( "0.2x+0.5y= -21/23\r<BR>\n" );
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document.write( "The following steps solves the problem using Substitutions:\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++++3%5Cx+%2B+0.2%5Cy+=+4%2C%0D%0A++++0.2%5Cx+%2B+0.5%5Cy+=+-0.91304347826087+%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 0.2*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ax+=+4+-+0.2%2Ay ALIGN=MIDDLE  ALT=\"3%2Ax+=+4+-+0.2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4%2F3+-+0.2%2Ay%2F3 ALIGN=MIDDLE  ALT=\"x+=+4%2F3+-+0.2%2Ay%2F3\"   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=0.2%2A%284%2F3+-+0.2%2Ay%2F3%29+%2B+0.5%5Cy+=+-0.91304347826087 ALIGN=MIDDLE  ALT=\"0.2%2A%284%2F3+-+0.2%2Ay%2F3%29+%2B+0.5%5Cy+=+-0.91304347826087\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=-2.42406194163192. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4%2F3+-+0.2%2Ay%2F3 ALIGN=MIDDLE  ALT=\"x+=+4%2F3+-+0.2%2Ay%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=1.49493746277546.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=1.49493746277546%2C+y=-2.42406194163192+%29 ALIGN=MIDDLE  ALT=\"system%28+x=1.49493746277546%2C+y=-2.42406194163192+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<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 Step-By-Step free videos in Introduction to Algebra, please visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/Trigonometry.\r<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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