document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59808>Question 59808</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh>Alegbra Concepts and Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Use Elimination to solve\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3%2B4y=30 ALIGN=MIDDLE  ALT=\"x%2F3%2B4y=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y=5 ALIGN=MIDDLE  ALT=\"2x-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41064 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=41064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3%2B4y=30 ALIGN=MIDDLE  ALT=\"x%2F3%2B4y=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y=5 ALIGN=MIDDLE  ALT=\"2x-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add y to both sides of equation (2) to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=5%2By ALIGN=MIDDLE  ALT=\"2x=5%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then subtract 5 from both sides and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-5 ALIGN=MIDDLE  ALT=\"y=2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Replace y with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-5 ALIGN=MIDDLE  ALT=\"2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > in (1) and you get \r<BR>\n" );
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document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3%2B4%282x-5%29=30 ALIGN=MIDDLE  ALT=\"x%2F3%2B4%282x-5%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply 4 by 2x-5 to get 8x-20 so (3) becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3%2B8x-20=30 ALIGN=MIDDLE  ALT=\"x%2F3%2B8x-20=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 20 to both sides to get \r<BR>\n" );
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document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3%2B8x=50 ALIGN=MIDDLE  ALT=\"x%2F3%2B8x=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3 ALIGN=MIDDLE  ALT=\"x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x ALIGN=MIDDLE  ALT=\"8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2B1%2F3%29x ALIGN=MIDDLE  ALT=\"%288%2B1%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=24%2F3 ALIGN=MIDDLE  ALT=\"8=24%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2B1%2F3%29x=%2824%2F3%2B1%2F3%29x=%2825%2F3%29x ALIGN=MIDDLE  ALT=\"%288%2B1%2F3%29x=%2824%2F3%2B1%2F3%29x=%2825%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, replacing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3%2B8x ALIGN=MIDDLE  ALT=\"x%2F3%2B8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825%2F3%29x ALIGN=MIDDLE  ALT=\"%2825%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > in (4) we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825%2F3%29x=50 ALIGN=MIDDLE  ALT=\"%2825%2F3%29x=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F25 ALIGN=MIDDLE  ALT=\"3%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=50%283%2F25%29 ALIGN=MIDDLE  ALT=\"x=50%283%2F25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or x=6.<BR>\n" );
document.write( "Since x=6, we replace x with 6 in (2) and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A6-y=5 ALIGN=MIDDLE  ALT=\"2%2A6-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12-y=5 ALIGN=MIDDLE  ALT=\"12-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > so y=7.\r<BR>\n" );
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document.write( "To verify that x=6, y=7 is correct we use these values in (1) and (2):\r<BR>\n" );
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document.write( "From (1): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3%2B4y=30 ALIGN=MIDDLE  ALT=\"x%2F3%2B4y=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F3%2B4%2A7=2%2B28 ALIGN=MIDDLE  ALT=\"6%2F3%2B4%2A7=2%2B28\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is indeed 30, and<BR>\n" );
document.write( "From (2): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y=5 ALIGN=MIDDLE  ALT=\"2x-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A6-7=12-7 ALIGN=MIDDLE  ALT=\"2%2A6-7=12-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is indeed 5. </SPAN>\n" );
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