document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220967>Question 220967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve using the elimination method\r<BR>\n" );
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document.write( "5r-6s=-5<BR>\n" );
document.write( "6r+5s=55\r<BR>\n" );
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document.write( "The answer should be an ordered pair and either an integer or fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165759 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=165759\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve using the elimination method\r<BR>\n" );
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document.write( "5r-6s=-5  Equation A<BR>\n" );
document.write( "6r+5s=55  Equation B\r<BR>\n" );
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document.write( "Multiply Equation A by 5 and Equation B by 6\r<BR>\n" );
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document.write( "25r-30s=-25  Equation A1<BR>\n" );
document.write( "36r+30s=330  Equation B1\r<BR>\n" );
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document.write( "Add equations A1 and B1 to eliminate s-terms.\r<BR>\n" );
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document.write( "61r=305 or r=305/61=5\r<BR>\n" );
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document.write( "Then Equation A yields 5*5-6s=5 or 25-6s=-5  or s=5\r<BR>\n" );
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document.write( "ANSWER:  The solution is r=5 and s=5 or (5,5).  Checking via 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++++25%5Cr+%2B+-30%5Cs+=+-25%2C%0D%0A++++36%5Cr+%2B+30%5Cs+=+330+%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving -30*s to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2Ar+=+-25+-+-30%2As ALIGN=MIDDLE  ALT=\"25%2Ar+=+-25+-+-30%2As\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+-25%2F25+-+-30%2As%2F25 ALIGN=MIDDLE  ALT=\"r+=+-25%2F25+-+-30%2As%2F25\"   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=36%2A%28-25%2F25+-+-30%2As%2F25%29+%2B+30%5Cs+=+330 ALIGN=MIDDLE  ALT=\"36%2A%28-25%2F25+-+-30%2As%2F25%29+%2B+30%5Cs+=+330\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that s=5. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+-25%2F25+-+-30%2As%2F25 ALIGN=MIDDLE  ALT=\"r+=+-25%2F25+-+-30%2As%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, r=5.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+r=5%2C+s=5+%29 ALIGN=MIDDLE  ALT=\"system%28+r=5%2C+s=5+%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( "And good luck in your studies!\r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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