document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205551>Question 205551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having problems solving this problem as a system of equations. Please help. Thanks.\r<BR>\n" );
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document.write( "The sales representatives informs you that there are two floor plans available. There are a total of 56 houses available.<BR>\n" );
document.write( "Plan A is x+y=56  and Plan B is x+3y=56.  Use substitution to determine how many of each type of floor plan is available, and what are the intercepts of the equation from x+y=56 and from x+3y=56. where would the lines intercept?\r<BR>\n" );
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document.write( "*this is so confusing to me, thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155171 by </B><A HREF=/tutors/aboutme.mpl?userid=Targetweek><B>Targetweek(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Targetweek><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=155171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This should help and if it confuses you then message me and i'll give my own step by step version<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++++1%5Cx+%2B+1%5Cy+=+56%2C%0D%0A++++1%5Cx+%2B+3%5Cy+=+56+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+56%2C%0D%0A++++1%5Cx+%2B+3%5Cy+=+56+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 1*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ax+=+56+-+1%2Ay ALIGN=MIDDLE  ALT=\"1%2Ax+=+56+-+1%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+56%2F1+-+1%2Ay%2F1 ALIGN=MIDDLE  ALT=\"x+=+56%2F1+-+1%2Ay%2F1\"   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=1%2A%2856%2F1+-+1%2Ay%2F1%29+%2B+3%5Cy+=+56 ALIGN=MIDDLE  ALT=\"1%2A%2856%2F1+-+1%2Ay%2F1%29+%2B+3%5Cy+=+56\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=0. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+56%2F1+-+1%2Ay%2F1 ALIGN=MIDDLE  ALT=\"x+=+56%2F1+-+1%2Ay%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=56.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=56%2C+y=0+%29 ALIGN=MIDDLE  ALT=\"system%28+x=56%2C+y=0+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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