document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188417>Question 1188417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company with two stores buys six large delivery vans and five small delivery vans.  The first store receives four large vans and 2 small vans for a coast of $160,000.  The second store receives two large delivery vans and three small delivery vans for a cost of $128,000.  Find the cost for each type of delivery van.    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819630 by </B><A HREF=/tutors/aboutme.mpl?userid=Shin123><B>Shin123(626)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shin123><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=Shin123><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the cost of the large van, and y be the cost of the small van. We have the system of equations <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%284x%2B2y=160000%2C2x%2B3y=128000%29 ALIGN=MIDDLE  ALT=\"system%284x%2B2y=160000%2C2x%2B3y=128000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<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++++4%5Cx+%2B+2%5Cy+=+160000%2C%0D%0A++++2%5Cx+%2B+3%5Cy+=+128000+%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 2*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ax+=+160000+-+2%2Ay ALIGN=MIDDLE  ALT=\"4%2Ax+=+160000+-+2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+160000%2F4+-+2%2Ay%2F4 ALIGN=MIDDLE  ALT=\"x+=+160000%2F4+-+2%2Ay%2F4\"   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=2%2A%28160000%2F4+-+2%2Ay%2F4%29+%2B+3%5Cy+=+128000 ALIGN=MIDDLE  ALT=\"2%2A%28160000%2F4+-+2%2Ay%2F4%29+%2B+3%5Cy+=+128000\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=24000. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+160000%2F4+-+2%2Ay%2F4 ALIGN=MIDDLE  ALT=\"x+=+160000%2F4+-+2%2Ay%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=28000.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=28000%2C+y=24000+%29 ALIGN=MIDDLE  ALT=\"system%28+x=28000%2C+y=24000+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Therefore, the cost of the large van is $28,000 and the cost of the small van $24,000. </SPAN>\n" );
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