document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173903>Question 173903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok so I've tried to do this problem quite a few times and I just can't seem to get it.<BR>\n" );
document.write( "2x+5y=19<BR>\n" );
document.write( "x=32-7y<BR>\n" );
document.write( "I tried to solve by substitution, I did this:<BR>\n" );
document.write( "2(32-7y)+5y=19<BR>\n" );
document.write( "64-14y+5y=19<BR>\n" );
document.write( "20y=83<BR>\n" );
document.write( "But as you can see that is not right, I cannot figure out what I am doing wrong. I am supposed to end up with an ordered pair, I just don't get it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128788 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=128788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your system:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5y=19 ALIGN=MIDDLE  ALT=\"2x%2B5y=19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=32-7y ALIGN=MIDDLE  ALT=\"x=32-7y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2832-7y%29%2B5y=19 ALIGN=MIDDLE  ALT=\"2%2832-7y%29%2B5y=19\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Ok, spot on.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64-14y%2B5y=19 ALIGN=MIDDLE  ALT=\"64-14y%2B5y=19\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Still going well.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20y=83 ALIGN=MIDDLE  ALT=\"20y=83\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Oops!  How did you manage to add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-14y ALIGN=MIDDLE  ALT=\"-14y\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y ALIGN=MIDDLE  ALT=\"5y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and come up with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20y ALIGN=MIDDLE  ALT=\"20y\"   DISABLED_style= \"max-width:90%; height:auto;\" >? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-14y%2B5y=-9y ALIGN=MIDDLE  ALT=\"-14y%2B5y=-9y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Also, you subtracted 64 from the left side, but added it to the right side.  You need to subtract 64 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64-14y%2B5y=19 ALIGN=MIDDLE  ALT=\"64-14y%2B5y=19\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9y=19-64 ALIGN=MIDDLE  ALT=\"-9y=19-64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9y=-45 ALIGN=MIDDLE  ALT=\"-9y=-45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Half done.  Now you need to go back and use this value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > to calculate the value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > that satisfies both equations.\r<BR>\n" );
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document.write( "So take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=32-7y ALIGN=MIDDLE  ALT=\"x=32-7y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=32-7%285%29=32-35=-3 ALIGN=MIDDLE  ALT=\"x=32-7%285%29=32-35=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you can write your ordered pair because you have an <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > value and a corresponding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > value.\r<BR>\n" );
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document.write( "The solution set for your system is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >).\r<BR>\n" );
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document.write( "Ah, ah, ah...not so fast.  We still need to check the answers.  Substituting the values of x and y into both equations must result in two true statements.  Let's see:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28-3%29%2B5%285%29=-6%2B25=19 ALIGN=MIDDLE  ALT=\"2%28-3%29%2B5%285%29=-6%2B25=19\"   DISABLED_style= \"max-width:90%; height:auto;\" >  True\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3=32-7%285%29=-3 ALIGN=MIDDLE  ALT=\"-3=32-7%285%29=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > True\r<BR>\n" );
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document.write( "Answer checks. </SPAN>\n" );
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